Consider the following system of equations:

y = - x + 2

y = 3x + 1

Which description best describes the solution to the system of equations?

Line y = - x + 2 intersects line y = 3x + 1.

Lines y = - x + 2 and y = 3x + 1 intersect the x-axis.

Lines y = - x + 2 and y = 3x + 1 intersect the y-axis.

Line y = - x + 2 intersects the origin.

Question

Mathematics

Soren Huerta

1 October, 10:38

Consider the following system of equations:

y = - x + 2

y = 3x + 1

Which description best describes the solution to the system of equations?

Line y = - x + 2 intersects line y = 3x + 1.

Lines y = - x + 2 and y = 3x + 1 intersect the x-axis.

Lines y = - x + 2 and y = 3x + 1 intersect the y-axis.

Line y = - x + 2 intersects the origin.

+4

Answers (1)

Know the Answer?

Genie · Answer 1

Y = - x + 2

y = 3x + 1

-x + 2 = 3x + 1

+ x + x

2 = 4x + 1

- 1 - 1

1 = 4x

4 4

¹/₄ = x

y = 3x + 1

y = 3 (¹/₄) + 1

y = ³/₄ + 1

y = 1³/₄

(x, y) = (¹/₄, 1³/₄)

The answer is A.