Question

Determine whether the ordered pairs (1,0) and (6,?) are solutions of the equation -4x + 7y = -4.

Is (1,0) a solution of -4x + 7y = -4?
A) Yes
B) No

Answer 1

The ordered pair (1,0) is a solution to the equation -4x + 7y = -4, as substituting x = 1 and y = 0 into the equation confirms the equality. The ordered pair (6, ?) also satisfies the equation when we solve for y, yielding (6, 20/7) as the solution.

Step-by-step explanation:

To determine whether the ordered pairs (1,0) and (6, ?) are solutions of the equation -4x + 7y = -4, we need to plug the values into the equation and solve for y when necessary.

First let's check the ordered pair (1,0):

• Plug x = 1 and y = 0 into the equation: -4(1) + 7(0) = -4 ?
• Simplify: -4 + 0 = -4
• Since -4 does equal -4, the ordered pair (1,0) is indeed a solution of the equation.

Answer: A) Yes, (1,0) is a solution of the equation -4x + 7y = -4.

For the ordered pair (6, ?), we need to solve for y:

• Plug x = 6 into the equation: -4(6) + 7y = -4
• Simplify: -24 + 7y = -4
• Add 24 to both sides: 7y = 20
• Divide by 7: y = 20/7
• So the ordered pair is (6, 20/7), and since we have derived the value of y, this ordered pair also satisfies the equation.