Question

Can some one help me with this and explain it?​

Answer 1

A. (3,2)

Explanation:

One way to solve without graphing

equate both equations to each other:

`2x - 4 = - x + 5`

add x on both sides:

`2x + x - 4 = 5`

add 4 on both sides:

`2x + x = 5 + 4`

collect like terms:

`3x = 9`

divide 3 on both sides, so

`x = 3`

now that we have x, go back to any one of the equations and substitute x=3 to find y. I'll use y=2x-4

`y = 2x - 4`

sub x=3

`y = 2(3) - 4`

2 × 3 is 6

`y = 6 - 4`

`y = 2`

we now have x and y, so the coordinates are (3,2)

If you want to use the graphing method, substitute in x values of your choice, for example -2 to 2 into each equation to find y and when there is a same coordinate in both equations that is the solution.

y = 2x - 4

when x is -2, y = 2(-2)-4 = -8. (-2,-8)

when x is -1, y = 2(-1) - 4= -6. (-1,-6)

when x is 0, y = 2(0)-4 = -4. (0,-4)

when x is 1, y = 2(1) - 4 = -2. (1,-2)

when x is 2, y = 2(2) - 4 = 0. (2,0)

when x is 3, y = 2(3) - 4 = 2. (3,2)

do the same thing of substituting to the other equation

y = -x + 5

when x is -2, y is 7 (-2,7)

when x is -1, y is 6. (-1,6)

when x is 0, y is 5. (0,5)

when x is 1, y is 4. (1,4)

when x is 2, y is 3. (2,3)

when x is 3, y is 2. (3,2)

plot these coordinates on a graph

they both have same x value (3) and same y value (2)