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

(1, 1)

Step-by-step explanation:

Since both equations express y in terms of x we can equate them, that is

3x - 2 = - 2x + 3 ( add 2x to both sides )

5x - 2 = 3 ( add 2 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

Substitute x = 1 into either of the 2 equations

y = 3x - 2 = (3 × 1) - 2 = 3 - 2 = 1

Solution is (1, 1 )

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

$12. that is my answer.