Question

Please help me branniest any answer without proof will be reported

Answer 1

1st equation:
y = 2x -3
slope = 2
y-intercept = -3

2nd equation:
y = -2x + 5
slope = -2
y-intercept = 5

In the image:
/ line is your 1st equation
\ line is your 2nd equation

Solution is where the line intersects:
(2, 1)

Answer: A


Proof: Let's plug in the solution and make sure it's right

1st equation:
y = 2x - 3
1 = 2(2) - 3
1 = 4 - 3
1 = 1
True

2nd equation:
y = -2x + 5
1 = -2(2) + 5
1 = -4 + 5
1 = 1
True


//Hope this helps

Answer 2

Remark

The easiest way to do a question like this (especially if you don't have a graphing calculator) is to go to a site like Desmos. Feed your two equations in and it will show you what the graph looks like.

The red line is y = 2x - 3

The blue line is y = -2x + 5

You can make the xy axis just the way it is shown in this graph. The solution is (2,1) [just reading from the graph].

Answer: A