Question

For each ordered pair, determine whether it is a solution to 4x - 5y = -13.Is it a solution?x$(x, y)YesNo(-7, -3)(3, -4)OO(-2, 1)oO(6, 7)0

Answer 1

The equation is 4x - 5y = -13.

Substitute -7 for x and -3 for y in the equation to check whether ordered pair is solution of the equation.

`\begin{gathered} 4\cdot(-7)-5\cdot(-3)=-13 \\ -28+15=-13 \\ -13=-13 \end{gathered}`

The ordered pair satisfy the equation so point (-7,-3) is solution of equation.

Substitute 3 for x and -4 for y in the equation to check whether ordered pair is solution of the equation.

`\begin{gathered} 4\cdot3-5\cdot(-4)=-13 \\ 12+20=-13 \\ 32\\e-13 \end{gathered}`

The ordered pair not satisfy the equation. So point (3,-4) is not a solution of the equation.

Substitute -2 for x and 1 for y in the equation to check whether ordered pair is solution of the equation.

`\begin{gathered} 4\cdot(-2)-5\cdot1=-13 \\ -8-5=-13 \\ -13=-13 \end{gathered}`

The ordered pair satisfy the equation. So point (-2,1) is solution of equation.

Substitute 6 for x and 7 for y in the equation to check whether ordered pair is solution of the equation.

`\begin{gathered} 4\cdot6-5\cdot7=-13 \\ 24-35=-13 \\ -11\\e-13 \end{gathered}`

The orderedpair not satisfy the equation. So point (6,7) is not a solution of the equation.