What is the value of y in the solution to the following system of linear equations? 2x+2=y 2y=5x-1 a) 3 b) 5 c) 8 d) 12

ANSWER

EXPLANATION

One way is to make x the subject in one equation and substitute into the other.

The second equation is

Let us put equation 1 in 2

Multiplying through by 2 gives;

D

given the 2 equations

2x + 2 = y → (1)

2y = 5x - 1 → (2)

Substitute y = 2x + 2 into (2)

2(2x + 2) = 5x - 1

4x + 4 = 5x - 1 ( subtract 5x from both sides )

- x + 4 = = - 1 ( subtract 4 from both sides )

- x = - 5 ( multiply through by - 1 )

x = 5

substitute x = 5 into (1)

y = (2 × 5 ) + 2 = 10 + 2 = 12 → D

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.