To solve the system of equations using substitution, we start with the two equations:
1. y = 2x + 10
2. y = 4x + 8
Since both equations are equal to y, we can set them equal to each other:
2x + 10 = 4x + 8
Next, we will isolate x. Start by subtracting 2x from both sides:
10 = 2x + 8
Now, subtract 8 from both sides:
2 = 2x
Now divide both sides by 2:
x = 1
Now that we have the value of x, we can substitute it back into one of the original equations to find y. Let’s use the first equation:
y = 2(1) + 10
y = 2 + 10
y = 12
Thus, the solution to the system of equations is:
(x, y) = (1, 12)