Question

A system of equations is graphed on a coordinate plane.

Which coordinates are the best estimate of the solution to the system of equations?

(6, 0)
(0, 5)
(1, 4)
​ (1, 5)

Answer 1

1,4 is the best estimate.

Explanation:

Answer 2

Option C is correct.

(1, 4)

Explanation:

A system of equation is given :

2x + 3y =12 .....[1]

4x + 2y =10 .....[2]

Multiply equation [1] by 2 both sides we get;

`2(2x+3y) = 2(12)`

Using distributive property i,e
`a \cdot(b+c) = a\cdot b+ a\cdot c`

4x + 6y = 24 .....[3]

Subtract equation [2] from [3] to eliminate x we get;

4x + 6y - 4x - 2y= 24 - 10

Combine like terms;

4y = 14

Divide both sides by 4 we get;

y = 3.5

Substitute the value of y in equation [1] we have;

2x + 3(3.5) =12

2x + 10.5 = 12

or

2x = 12 -10.5

2x = 1.5

Divide both sides by 2 we get;

x = 0.75

Solution = (0.75 , 3.5)

Best estimate solution = (1, 4)

Therefore, the best estimate solution of the given system of equation is, (1, 4)