Question

Use substitution to determine which of the following points is a solution to the standard form equation below 5x-2y=10

these are the points: -1,5. 1,5. 0,-5. 0,5

Answer 1

Answer with Step-by-step explanation:

We have to determine which of the following points (-1,5), (1,5), (0,-5) and (0,5)

is the solution of 5x-2y=10

i.e. on putting the values of x and y in 5x-2y we must get 10

(-1,5)

5×(-1)-2×5 = -15 ≠ 10

Hence, it is not the solution of 5x-2y=10

(1,5)

5×1-2×5 = -5 ≠ 10

Hence, it is not the solution of 5x-2y=10

(0,-5)

5×0-2×(-5) = 10

Hence, it is the solution of 5x-2y=10

(0,5)

5×0-2×5 = -10 ≠ 10

Hence, it is not the solution of 5x-2y=10

Hence, Solution to the equation is:

(0, -5)

Answer 2

The right answer to this is (0,-5). If you substitute the points into the equation, it will give the answer 10.

`5x - 2y = 10 \\ let x = 0 \\ let y = -5 \\ \\ 5(0) - 2(-5) =10 \\ 10 = 10`

The points (0,-5) satisfy the equation because both sides of the equation is equal to 10.