x over x plus two x x + 2 = x minus three over x plus five x − 3 x + 5

(x ≠ −2, x ≠ −5)

x(x + 5) = (x + 2)(x − 3)

x² + 5x = x² − 3x + 2x − 6

x² + 5x = x² − x − 6

5x = −x − 6

6x = 6

x = 1

a minus four over a minus 1 a − 4 a − 1 = ten over a plus seven 10 a + 7

(a ≠ 1, a ≠ −7)

(a − 4)(a + 7) = 10(a − 1)

a² + 7a − 4a − 28 = 10a − 10

a² + 3a − 28 = 10a − 10

a² − 7a − 18 = 0

(a − 9)(a + 2) = 0

a = 9, a = −2