SOLUTION: To solve systems of equations by the substitution method. Please help my son to solve this homework questions: x � y = 3 6x + 4y = 13

Question 64575: To solve systems of equations by the substitution method. Please help my son to solve this homework questions:
x � y = 3
6x + 4y = 13

Answer by 303795(602) (Show Source): You can put this solution on YOUR website!
In the substitution method one equation is written with one variable on its own on one side of the equation.
Rewrite the first equation by adding y to each side of the equation to get
x � y + y = 3 + y
x = y + 3
Substitute for x in the second equation.
6(y + 3) + 4y = 13
6y + 18 + 4y = 13
10y + 18 = 13
Subtract 18 from each side of the equation
10y + 18 - 18 = 13 - 18
10y = -5
Divide each side by 10
y = -0.5
Substitute into the first equation (or its modified form)
x = y + 3
x = -0.5 + 3
x = 2.5
RELATED QUESTIONS
To solve systems of equations by the substitution method. Please help my son to solve... (answered by stanbon)

To solve systems of equations by the substitution method. My son needs help with these 2 (answered by stanbon,Earlsdon)

One more then I'm done, my son has another problem on his homework that calls for the... (answered by lynnlo)

Im doing a practice test to study for my real test. I would like to know if i got th... (answered by MathLover1)

I am suppose to solve the systems of equations by elimination and I don't understand it.... (answered by richwmiller)

I need help i am a parent trying to help my son with his homework his teacher gave them... (answered by ankor@dixie-net.com)

Use the substitution method to solve the systems of equations. 2x+y=4 2x-y=0 I am... (answered by Mathtut)

solve the systems of equations by the substitution method: 5x-4y+=30-5x 3x+6=x+5y+15 (answered by unlockmath)

Hi im stuck in my algebra homework. I really dont understand how to solve linear systems... (answered by josgarithmetic)