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

Meet of lines: y = 3x − 2  and  y = -2x + 3?

y=3x-2 has slope 3 and y intercept -2 (which means thru (0,-2)) , so that's the blue line through point D.

y=-3x+3 has slope -2 and y intercept 3, so the red line through points A, C and  D.

The point D(1,1) is the intersection of the lines.  Let's check that algebraically:

3x-2=3(1)-2=1=y, good

-2x+3 = -2(1)+3=1=y, good

D

search the worksheet up on the internet

step-by-step explanation:

it works trust me

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form