Question

Substitution method
2x+y=9
3x+7y=63

Answer 1

To solve the system of equations using the substitution method, we can solve one of the equations for one variable and substitute it into the other equation.

First, let's solve the first equation for y:
2x + y = 9
y = 9 - 2x

Now, substitute this expression for y into the second equation:
3x + 7(9 - 2x) = 63

Distribute the 7:
3x + 63 - 14x = 63

Combine like terms:
-11x + 63 = 63

Subtract 63 from both sides:
-11x = 0

Divide by -11:
x = 0

Now, substitute the value of x back into the first equation to find the value of y:
2(0) + y = 9
y = 9

Therefore, the solution to the system of equations is x = 0 and y = 9.