Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?

A.
A
B.
B
C.
C
D.
D

Question

Today at 5:46 PM
Mathematics

Answered

Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?

A.
A
B.
B
C.
C
D.
D

Answer :

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tricrystallite tricrystallite · Answer 1 · 2025-04-13T17:52:03-04:00

Answer:

(1,1)

Step-by-step explanation:

The choices are not visible, however are unnecessary to solve this problem.

Given y = 3x - 2 and y = -2x + 3

[Set them equal to each other]

3x - 2 = -2x + 3

[Find x]

3x + 2x - 2 = 3

3x + 2x = 5

5x = 5

x = 1

[Plug x = 1 to both equations to check and find y]

y = 3x - 2

y = 3(1) - 2 = 3 - 2 = 1

y = -2x + 3

y = -2(1) + 3 = -2 + 3 = 1

Both are equal to y = 1 when x = 1

The point is then: (1,1)

oscar236 oscar236 · Answer 2 · 2025-04-13T17:51:33-04:00

oscar236 oscar236

Today at 5:51 PM

Answer:

(1, 1).

Step-by-step explanation:

y = 3x − 2

y = -2x + 3

Subtracting:

0 = 5x - 5

5x = 5

x = 1.

Put x = 1 into the first equation:

y = 3(1) - 2 = 1.

Answer Link

Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3? A. A B. B C. C D. D

Answer :

Other Questions

Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?

A.
A
B.
B
C.
C
D.
D