SOLUTION: I need to resolve this equation by substitution: 3(x-1) + 2(y+3) = 8 4x - (y-6) = 9 I don't know how! The answer is supposed to be x = 1 and y = 1 Thank you

Question 544678: I need to resolve this equation by substitution:
3(x-1) + 2(y+3) = 8
4x - (y-6) = 9
I don't know how! The answer is supposed to be x = 1 and y = 1

Thank you
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
3(x-1) + 2(y+3) = 8
4x - (y-6) = 9
:
simplify both equations
3x - 3 + 2y + 6 = 8
3x + 2y + 3 = 8
3x + 2y = 8 - 3
3x + 2y = 5
and
4x - y + 6 = 9
-y = -4x + 9 - 6
-y = -4x + 3
Make y positive, mult by -1
y = 4x - 3;
use this for substitution in the 1st equation
3x + 2y = 5
3x + 2(4x-3) = 5
3x + 8x - 6 = 5
11x = 5 + 6
11x = 11
x = 11/11
x = 1
Find y, using eq: y = 4x - 3
y = 4(1) - 3
y = 4 - 3
y = 1
RELATED QUESTIONS
I need the derivative of : y = radical((x)^2) + 1 * radical((x)^2) - 1 The answer is... (answered by Alan3354)

Will you help me find the solution to this equation: 6x-3(6-5x)+3x=10-4(2-x) I tried... (answered by stanbon)

By solving {{{x^4 + 4x^3 -6x^2 -4x +1 = 0 }}} another way, show that the exact value of... (answered by CPhill)

#25 This question involves to find parallel and perpendicular lines. Find the equation... (answered by Alan3354)

I'm supposed to put the following formulas in y=mx+b form. Then I'm supposed to plot the (answered by jim_thompson5910)

Need help solving this equation (substitution) 4x-2y-8=8y-6x-2 3(x-y+1)=3y-2x-9 My (answered by Edwin McCravy)

I need the derivative of : y = (x^(5/3)/5) - (x^(4/3)/2) The answer is supposed to... (answered by Alan3354)

Need help on writing the standard form of the equation:{{{ y^2-x+2y+3=0}}} I tryed it... (answered by Alan3354,ewatrrr)

I need to expand into two logarithums, ln(x^2-4x+4). I know the log laws but don;t know... (answered by ewatrrr,solver91311)