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The equations of two lines are y=4x+2 and 6x-y=4 . What is the value of x in the solution for this system of equations?

User RJN
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1 Answer

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Answer: x = 3

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

User ShujatAli
by
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