To find the solutions to the system of equations:
Y = X + 3x - 4
y = 2x + 2
We can set the two equations equal to each other because they both equal y:
X + 3x - 4 = 2x + 2
Combine the x terms on one side:
X + 3x - 4 - 2x = 2
Simplify:
X + x - 4 = 2
Combine the x terms:
2x - 4 = 2
Add 4 to both sides:
2x = 6
Divide by 2:
x = 3
Now that we have found the value of x, we can plug it back into one of the original equations to solve for y. Let's use the second equation:
y = 2(3) + 2
y = 6 + 2
y = 8
Therefore, the solutions to the system of equations are x = 3 and y = 8.
What are the solutions to the system Y = X + 3x - 4 y = 2x + 2
1 answer