Answer: (3, 19); x = 3, and y = 19
y = 5x + 4 ------------ equation 1
y = 3x + 10 ----------- equation 2
To find x, equate equation 1 and 2 together
5x + 4 = 3x + 10
Collect the like terms
5x - 3x = 10 - 4
2x = 6
Divide both sides by 2
2x/2 = 6/2
x = 3
To find y, substitute the value of y = 3 into either equation 1 or 2
y = 5x + 4
y = 5(3) + 4
y = 15 + 4
y = 19
Test equation 2
y = 3x + 10
y = 3(3) + 10
y = 9 + 10
y = 19
Hence, x = 3 and y = 19
(3, 19)