Question

Algebra 1

what is the solution to the system?

7x+5y=19

-7-2y=-16


A: (2,1)

B: (1,2)

C: (7,5)

D: (-7,-2)

Answer 1

the answer is A. do you need the whole work?

Answer 2

Option A is correct.

(2, 1) is the solution to the given system.

Explanation:

Given the system of equation:

7x + 5y =19 ......[1]

-7x -2y = -16 ......[2]

Add equation [1] and [2] to eliminate x and solve for y;

(7x + 5y)+(-7x-2y) = 19+(-16)

7x + 5y - 7x -2y = 19-16

Combine like terms;

3y = 3

Divide by 3 on both sides we get;

y = 1

Substitute the value of y in equation [1] to solve for x;

7x + 5(1) = 19

7x + 5 =19

Subtract 5 from both sides we get;

7x + 5 -5 =19-5

Simplify:

7x = 14

Divide both sides by 7 we get;

x = 2

Therefore, the solution for the given system is, (2, 1)