You have to take this equation as as a simultaneous linear equation since there are two variables - ( 2 linear equations stacked up on each other)
3x + 4y = 20 - Equation 1
2x - 3y = -2 - Equation 2
Since you have to find x you have to find a way to omit the y variable from the equation. The only way to do that is to turn them into the same number and subtract them. However, in that case you will have to change the entire equation.
4y and -3y are the variables we must change… An easy way to do this is to find the LCM (Lowest Common Factor). In this case it is 12 : 4 x 3 = 12…
Multiply all the numbers in Equation 1 with 3:
3x + 4y =20 ———————— 9x + 12y = 60
3 x 4 = 12… Multiply all the numbers in Equation 2 with 4:
2x - 3y = -2 ———————— 8x - 12y = -8
Now, the equation is-
9x + 12y = 60
8x - 12y = -8
Add the numbers going down i.e 9 + 8, 12+ (-12), 60+ (-8)
You get…
17x = 52
y variable is now omitted because 12y + (-12y) = 0
Now solve for x-
x = 52/17
x =3 and 1/3 = 3.33
Sry the answer is super lengthy but hope it helps!! :)