Question

Plis help me with this one!!!!!!!

Answer 1

(0, 9)

Explanation:

• First we need to find the equations of each line!
• What I'd do is use the equation:
• gradient (m) = change in y ÷ change in x
• Starting with the left line, let's pick two coordinates that are on the line
• I've picked: (-2, 5), (-3, 3)
• gradient (m) = (3 - 5) ÷ (-3 - -2) = -2 ÷ -1 = 2
• We can then use the equation y = mx + c (m is gradient)
• y = 2x + c
• We know we have the point (-3, 3) on this line
• (-3, 3) = (x, y) so x = -3 and y = 3
• y = 2x + c
• 3 = 2 × -3 + c
• 3 = -6 + c
• c = 9
• Finally, we can say y = 2x + 9

Doing the exact same steps for the other line...

• y = -3x + 9
• Since we now have two y = ... equations
• We can say y = y
• Which is the same as
• 2x + 9 = -3x + 9
• We rearrange to find x...
• 5x = 0
• x = 0
• That gives us the x-coordinate of where the lines meet (the solution of the system of equations)
• We can then pick either equation to find the y-coordinate:
• y = -3x + 9
• y = -3 × 0 + 9 = 9
• So the solution we have is at the point (0, 9)!

Answer 2

Answer: (0, 9) or x = 0, y = 9

Explanation:

The solution is the point of intersection.

Here, the lines intersect at the point (0, 9) in the format of (x, y) so we can pull out the answers x = 0 and y = 9.