document.write( "Question 430119: ok here is the question graph 4x-y=1 by finding ordered pairs to satisfy the equation\r
\n" ); document.write( "\n" ); document.write( "im studying the thea study guide i see this in the book and gives me values to replace x but i dont understand how you get the values. have not done this stuff in years please help, thanks
\n" ); document.write( "

Algebra.Com's Answer #298705 by haileytucki(390)\"\" \"About 
You can put this solution on YOUR website!
ok, if I understand you correctly,
\n" ); document.write( "4x-y=1\r
\n" ); document.write( "\n" ); document.write( "Since 4x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 4x from both sides.
\n" ); document.write( "-y=-4x+1\r
\n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by -1.
\n" ); document.write( "-y*-1=-4x*-1+1*-1\r
\n" ); document.write( "\n" ); document.write( "Multiply -y by -1 to get y.
\n" ); document.write( "y=-4x*-1+1*-1\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by multiplying out all the terms.
\n" ); document.write( "y=4x-1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4x-y=1\r
\n" ); document.write( "\n" ); document.write( "Since -y does not contain the variable to solve for, move it to the right-hand side of the equation by adding y to both sides.
\n" ); document.write( "4x=y+1\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 4.
\n" ); document.write( "(4x)/(4)=(y)/(4)+(1)/(4)\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors.
\n" ); document.write( "x=(y)/(4)+(1)/(4)\r
\n" ); document.write( "\n" ); document.write( "Combine the numerators of all expressions that have common denominators.
\n" ); document.write( "x=(y+1)/(4)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if you need to solve, finding the x and y intercepts:\r
\n" ); document.write( "\n" ); document.write( "4x-y=1\r
\n" ); document.write( "\n" ); document.write( "To find the x-intercept, substitute in 0 for y and solve for x.
\n" ); document.write( "4x-(0)=1\r
\n" ); document.write( "\n" ); document.write( "Multiply -1 by the 0 inside the parentheses.
\n" ); document.write( "4x+0=1\r
\n" ); document.write( "\n" ); document.write( "Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
\n" ); document.write( "4x=1\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 4.
\n" ); document.write( "(4x)/(4)=(1)/(4)\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors.
\n" ); document.write( "x=(1)/(4)\r
\n" ); document.write( "\n" ); document.write( "To find the y-intercept, substitute in 0 for x and solve for y.
\n" ); document.write( "4(0)-y=1\r
\n" ); document.write( "\n" ); document.write( "Multiply 4 by each term inside the parentheses.
\n" ); document.write( "0-y=1\r
\n" ); document.write( "\n" ); document.write( "Combine all similar expressions.
\n" ); document.write( "-y=1\r
\n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by -1.
\n" ); document.write( "-y*-1=1*-1\r
\n" ); document.write( "\n" ); document.write( "Multiply -y by -1 to get y.
\n" ); document.write( "y=1*-1\r
\n" ); document.write( "\n" ); document.write( "Solve the equation.
\n" ); document.write( "y=-1\r
\n" ); document.write( "\n" ); document.write( "These are the x and y intercepts of the equation 4x-y=1.
\n" ); document.write( "x=(1)/(4), y=-1\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );