Answer: x = 3
Step-by-step explanation
This is a simultaneous equation. So to find x , we solve to ascertained the coordinate or point of intersection of the too lines.
y = 4x + 2, and 6x - y = 4
To solve , we need to rearrange first
y = 4x + 2 will be
4x - y = -2 -------------------------1
Equation 2 is in order
6x - y = 4 -------------------------- 2
Now solve the two equation for x by using any methods you are familiar with.
4x - y = -2
6x - y = 4, now subtract equation 2 from 1 in order to eliminate y,
we now have
-2x = -6, now divide through by 2
x = 3.
Hence y could be find by substitution for x in any of the equation above and now check.
4x - y = -2
4(3) - y = -2
12 - y = = -2
y = 12 + 2
y = 14.
Now let check
6x - y = 4
6(3) - 14
18 - 14
= 4.
Therefore, the value of x is 3