Answer
x = 1
y = 4
Work Step by Step
5x + 4y -2 = -6 + 7y -3x
3x + 4x = y + 3
simplify to the second equation 3x + 4x = y +3
7x = y + 3 minus 3 to both sides
7x - 3 = y + 3 - 3
7x - 3 = y substitude y = 7x - 3 to the first equation
5x + 4 ( 7x - 3 ) -2 =- 6 + 7 ( 7x - 3 ) - 3x use the distributive property
5x + 28 x - 12 - 2 =- 6 + 49x - 21 - 3x simplify
33x -14 = -27 + 46x
minus 46x to both sides
33x - 14 - 46x = -27 + 46x - 46x
- 13x - 14 = -27
- 13x - 14 + 14 = -27 + 14 add 14 to both sides
-13x =-13
$\frac{-13x}{-13}$ = $\frac{-13}{-13}$ divide both sides by -13
x = 1
y =7x - 3 substitude x = 1
y = $7\times1$ - 3
y = 7 - 3
y = 4
