Question

Which solution is the best estimate to the system of equations? {y=14x−2y=−2x+3 (2.2, −1.4) (0, 3) (0, −2) (1.5, 0) A system of two linear equations. Two lines graphed on a Coordinate plane with x and y axis ranging from negative 5 to 5. One line passes through the points begin ordered pair 0 comma 3 end ordered pair and begin ordered pair 3 comma negative 3 end ordered pair. The other line passes through the points begin ordered pair 0 comma negative 2 end ordered pair and begin ordered pair 4 comma negative 1 end ordered pair.

Answer 1

The answer to the questions is (0,3).

Answer 2

The best estimate solution to the system of equations is (0, 3)

Explanation:

we have

y=14x-2 ------> equation A

y=-2x+3 -----> equation B

Solve the system by elimination

Multiply the equation B by 7 both sides

(7)y=(7)(-2x+3)

7y=-14x+21 -------> equation C

Adds equation A and equation C

y=14x-2

7y=-14x+21

-----------------

y+7y=-2+21

8y=19

y=19/8

Find the value of x

y=14x-2

19/8=14x-2

19=112x-16

112x=19+16

112x=35

x=35/112

so

The solution is the point (35/112,19/8)

Convert to decimal number

(0.3125,2.375)

therefore

The best estimate solution to the system of equations is (0, 3)