Question

[6.02] Use the Substitution Method to solve the following system of equations.
4x + y = 11
x + 2y = 8

(3, 2)

(2, 3)

(-2, -3)

(-2, 3)

Answer 1

Solve for y in the first equation

y= 11-4x

Substitute into second equation
x +2(11-4x) =8
Simplify/Distribute
x + 22 - 8x =8
-7x = -14
x = 2

Put back in first equation to get y
4(2) + y =11
8 +y = 11
y = 3

To check:
substitute the values you found in either equation
4(2) +3=11
8+3 = 11
3+2(3)=8
2 + 6 =8

Answer 2

So the answer is (x,y)=(2,3)

Answer 3

thanks

Answer 4

No problem :)