3x - y = 4

Question

x + 2y = 6

Solve the system of equations.

Answer 1

To solve the system of equations, we can use the method of substitution.

From the first equation, we can isolate y:
3x - y = 4
-y = -3x + 4
y = 3x - 4

Now we substitute this value of y into the second equation:
x + 2(3x - 4) = 6
x + 6x - 8 = 6
7x = 14
x = 2

Substituting this value of x back into the first equation to solve for y:
3(2) - y = 4
6 - y = 4
-y = 4 - 6
-y = -2
y = 2

So the solution to the system of equations is x = 2 and y = 2.