Question

Solve the following system of equations using substitution. What is the value of y?
2x + 3y = 105
x+ 2y =65

Answer 1

x = 65 - 2y

substitute into the first equation

2(65 - 2y) + 3y = 105
130 - 4y + 3y = 105
130 - y = 105
-y = 105 - 130
-y = -25
y = 25

ill let you solve for x

Answer 2

Subtract 2y from the second equation.

\(\Large \color{MidnightBlue}{\Rightarrow x = 65 - 2y }\)

Now, just substitute the value of x into the first equation.

\(\Large \color{MidnightBlue}{\Rightarrow 2(65 - 2y) + 3y = 105 }\)

Solve for y, then substitute its value in ANY of the equations, and solve for x.