Review the grass of a system of these two linear equations in two variables. Why equals 4X -10 and why equals negative 2X +8 find the solution of the system.
To solve this system of linear equations, we need to find the values of x and y that satisfy both equations at the same time.
Given equations:
1) y = 4x - 10
2) y = -2x + 8
To find the solution, we can set the two equations equal to each other:
4x - 10 = -2x + 8
Now, we can solve for x:
4x + 2x = 8 + 10
6x = 18
x = 3
Now that we have found the value of x, we can substitute it back into either equation to find the value of y. Let's use equation 1:
y = 4(3) - 10
y = 12 - 10
y = 2
Therefore, the solution to the system of equations is x = 3 and y = 2. These values satisfy both equations simultaneously.