Question

Select the solution to the following linear equations:

y = 2x - 3
y = -2x + 13

a) (0, 3)
b) (1, 5)
c) (-4, 5)
d) (-3, -3)
e) (-5, -3)
f) (-8, 3)

Answer 1

To find the solution to the given linear equations, y = 2x - 3 and y = -2x + 13, solve them simultaneously by setting the two equations equal to each other and solving for x. Substitute the value of x into one of the original equations to find the value of y. The solution is (4, 5).

Step-by-step explanation:

To find the solution to the given linear equations, y = 2x - 3 and y = -2x + 13, we can solve them simultaneously. By setting the two equations equal to each other, we have:

2x - 3 = -2x + 13
Combining like terms, we get:
4x = 16
Dividing both sides by 4, we find that x = 4.
Substituting this value of x into either of the original equations, we can find the value of y. Let's use the first equation:
y = 2(4) - 3
y = 5
Therefore, the solution to the given linear equations is (4, 5). So, the correct answer is (b) (4, 5).