Asystem 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)

Option C is correct.

(1, 4)

Step-by-step explanation:

A system of equation is given :

2x + 3y =12                 .....[1]

4x + 2y =10                 .....[2]

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

Using distributive property i,e

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)

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step-by-step explanation:

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