document.write( "Question 602995: Hello my name is Shamaila and I have problem solving these problems. 1. 5x-3y=1 y=3x-7
\n" ); document.write( "2. x=2y-10 4x-y=-47 3. 6x+5y=7 3x-7y=13 4. x-y=3 2x=4+2y 5. y=3x-2 y=2x-9 6. -2x+y=7 4x=2y-14
\n" ); document.write( "I will really really appreciate if anyone helps me solve these problems i dont know how to do them. Thank you so much!
\n" ); document.write( "My email address is bklynzkuri420@yahoo.com I need it by tonight thank you! \n" ); document.write( "
Algebra.Com's Answer #380585 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
We can solve these using two methods: substitution or elimination
\n" ); document.write( ":
\n" ); document.write( "We will solve the first two using substitution
\n" ); document.write( "I will do the 1st one step-by-step
\n" ); document.write( ":
\n" ); document.write( "1.
\n" ); document.write( " 5x - 3y = 1
\n" ); document.write( " y = 3x - 7
\n" ); document.write( "Replace y in the 1st equation with (3x-7)
\n" ); document.write( "5x - 3(3x-7) = 1
\n" ); document.write( "5x - 9x + 21 = 1
\n" ); document.write( "-4x = 1 - 21
\n" ); document.write( "-4x = -20
\n" ); document.write( "x = -20/-4
\n" ); document.write( "x = +5
\n" ); document.write( "Use the 2nd equation to find y, replace x with 5
\n" ); document.write( "y = 3(5) - 7
\n" ); document.write( "y = 15 - 7
\n" ); document.write( "y = 8
\n" ); document.write( "Check the solutions in the 1st equation:
\n" ); document.write( "5(5) - 3(8) = 1
\n" ); document.write( "25 - 24 = 1; confirms our solutions of x=5; y=8
\n" ); document.write( ";
\n" ); document.write( "2.
\n" ); document.write( " x = 2y - 10
\n" ); document.write( "4x - y = -47
\n" ); document.write( "Replace x in the 2nd equation with (2y-10)
\n" ); document.write( "4(2y-10) - y = -47
\n" ); document.write( "8y - 40 - y = -47
\n" ); document.write( "7y = -47 + 40
\n" ); document.write( "7y = -7
\n" ); document.write( "y = -1
\n" ); document.write( "Use the 1st equation to find x, replace y with -1
\n" ); document.write( "then check solutions in the 2nd equation
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "These equations can be done using elimination, will do the 1st one step-by-step
\n" ); document.write( "3.
\n" ); document.write( "6x + 5y = 7
\n" ); document.write( "3x - 7y = 13
\n" ); document.write( "multiply the 2nd equation by 2, subtract the 1st equation
\n" ); document.write( "6x - 14y = 26
\n" ); document.write( "6x + 5y = 7
\n" ); document.write( "-------------subtraction eliminates x, find y
\n" ); document.write( "0 - 19y = 19
\n" ); document.write( "y = 19/-19
\n" ); document.write( "y = -1
\n" ); document.write( "Find y using the 1st equation
\n" ); document.write( "6x + 5y = 7
\n" ); document.write( "Replace y with -1
\n" ); document.write( "6x +5(-1) = 7
\n" ); document.write( "6x - 5 = 7
\n" ); document.write( "6x = 7 + 5
\n" ); document.write( "6x = 12
\n" ); document.write( "x = 12/6
\n" ); document.write( "x = 2
\n" ); document.write( "Check solutions in the 2nd equation
\n" ); document.write( "3x - 7y = 13
\n" ); document.write( "replace x with 2, y with -1
\n" ); document.write( "3(2) - 7(-1) = 13
\n" ); document.write( "6 + 7 = 13, confirms our solutions of x=2, y=-1
\n" ); document.write( ":
\n" ); document.write( "4.
\n" ); document.write( " x - y = 3
\n" ); document.write( " 2x = 4 + 2y
\n" ); document.write( "Simplify, divide by 2, you then have
\n" ); document.write( "x = 2 + y
\n" ); document.write( "replace x with (2+y) in the 1st equation
\n" ); document.write( "(2+y) - y = 3
\n" ); document.write( "2 + y - y = 3
\n" ); document.write( "2 = 3; obviously there is no solution for this system
\n" ); document.write( ":
\n" ); document.write( "5.
\n" ); document.write( " y = 3x - 2
\n" ); document.write( " y = 2x - 9
\n" ); document.write( "---------------Subtraction will eliminate y, find x
\n" ); document.write( " 0 = x + 7
\n" ); document.write( "subtract 7 from both sides
\n" ); document.write( "-7 = x
\n" ); document.write( "Use the 1st equation to find y
\n" ); document.write( "y = 3(-7) - 2
\n" ); document.write( "y = -21 - 2
\n" ); document.write( "y = -23
\n" ); document.write( "Check solutions in the 2nd equation
\n" ); document.write( "-23 = 2(-7) - 9
\n" ); document.write( "-23 = -14 - 9; confirms our solutions of x=-7. y=-23
\n" ); document.write( ":
\n" ); document.write( "6.
\n" ); document.write( " -2x + y = 7
\n" ); document.write( " 4x = 2y - 14
\n" ); document.write( "arrange the 2nd equation for elimination
\n" ); document.write( " 4x - 2y = -14
\n" ); document.write( "Simplify, divide by 2, add the 1st equation
\n" ); document.write( " 2x - y = 7
\n" ); document.write( "-2x + y = -14
\n" ); document.write( "-----------------addition eliminates both variables,
\n" ); document.write( " 0 + 0 = -7
\n" ); document.write( " another system with no solution\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );