61.7k views
4 votes
For the linear equation, find the product of 5 and the linear equation, and solve both equations for y. 2x + 7y = 11

1 Answer

9 votes

Answer:

(a)
10x + 35y = 55

(b)
y = (11 - 2x)/(7)

Explanation:

Given


2x + 7y = 11

Solving (a): Multiply equation by 5.

Multiply both sides by 5


5 * (2x + 7y) = 11*5

Open bracket


5 * 2x + 5 * 7y = 11*5


10x + 35y = 55

(b) Solve for y in
10x + 35y = 55 and
2x + 7y = 11


10x + 35y = 55

Subtract 10x from both sides


35y = 55 - 10x

Divide both sides by 35


(35y)/(35) = (55 - 10x)/(35)


y = (55 - 10x)/(35)

Factorize the numerator:


y = (5(11 - 2x))/(35)

Express 35 as 7 * 5


y = (5(11 - 2x))/(7 * 5)


y = ((11 - 2x))/(7)


y = (11 - 2x)/(7)

When
2x + 7y = 11 is solved, the solution will be:
y = (11 - 2x)/(7)

User Dulan
by
7.3k points