Mathematics ACT Aspire Practice Test 2026 – Complete Study Resource

Question: 1 / 400

What is the point of intersection of the lines y = 2x + 1 and y = -x + 4?

(1, 3)

To find the point of intersection of the lines given by the equations y = 2x + 1 and y = -x + 4, you need to set the two equations equal to each other since at the point of intersection, both equations will yield the same output for y.

Start with the equations:

1. y = 2x + 1

2. y = -x + 4

Set them equal to find x:

2x + 1 = -x + 4.

Now solve for x:

1. Add x to both sides: 2x + x + 1 = 4,

2. This simplifies to: 3x + 1 = 4,

3. Subtract 1 from both sides: 3x = 3,

4. Finally, divide by 3: x = 1.

Now that we have the value of x, substitute it back into one of the original equations to find the corresponding y value. Using the first equation:

y = 2(1) + 1,

y = 2 + 1,

y = 3.

Thus, the point of intersection is (1, 3), confirming that the answer is indeed (1

Get further explanation with Examzify DeepDiveBeta

(2, 5)

(0, 1)

(3, 7)

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