Question

The equations 2x-y=-2, 3x+2y=5. and 22x+10y=7 are shown on the graph below

Which system of equations has a solution of approximately (–0.3, 1.4)?

A.2x-y=-2 and 22x+10y=7

B. 3x+2y=5 and 4x-y=2

C. 4x-y=2 and 22x+10y=7

D. 2x-y=-2 and 3x+2y=5

Answer 1

The correct answer is A.

Explanation:

Answer 2

The system of equations that has a solution of approximately (–0.3, 1.4) are 2x - y = - 2 and 22x + 10y = 7.

Explanation:

See the graph attached.

The first equation is 2x - y = - 2 ........ (1)

Rearranging in intercept form, we get

`(x)/(-1) + (y)/(2)  = 1`.

Therefore, the equation passes through (-1,0) ans (0,2) points.

Therefore, the pink color graph is represented by this equation (1).

Again, another equation is 22x + 10y = 7 ........ (2)

Rearranging in intercept form, we get

`(x)/((7)/(22)) + (y)/((7)/(10) ) = 1`

Therefore, the equation passes through
`((7)/(22), 0)` ans
`(0,(7)/(10))` points.

Therefore, the blue color graph is represented by this equation (2).

Now, it is clear from the graph that the pink line and the blue line has an intersection at (-0.3,1.4).

Therefore, the system of equations that has a solution of approximately (–0.3, 1.4) are 2x - y = - 2 and 22x + 10y = 7. (Answer)