Question

5x - 6 = y
2x - 3y = 4
Solve the system of equations by substitution.

A. (-10/13, -128/13)
B. (14/13, -8/13)
C. no solution
D. coincident

Answer 1

You can use matrices to solve this type of questions fastest.

Answer 2

we know that 5x - 6 = y
so we sub 5x - 6 in for y in the other equation..
2x - 3y = 4
2x - 3(5x - 6) = 4
2x - 15x + 18 = 4
-13x = 4 - 18
-13x = -14
x = 14/13
now sub 14/13 in for x
5x - 6 = y
5(14/13) - 6 = y
70/13 - 6 = y
70/13 - 78/13 = y
- 8/13 = y

answer is (14/13, -8/13)

Answer 3

any questions ?

Answer 4

No i get it thank you i was just substituting the wrong thing

Answer 5

glad I could help :)