Answer:
<u>(6, -3)</u><u> </u><u><em>aka </em></u><u><em>x = 6</em></u><u><em> and </em></u><u><em>y = -3</em></u>
Step-by-step explanation:
since you are given y = -2x + 9, you should start by substituting the expression -2x + 9 for y in the equation 2x + 3y = 3.
here's your equation after plugging in the expression that's equal to y:
2x + 3(-2x + 9) = 3
distribute 3 to -2x
2x + 3(-2x + 9) = 3 ⇒ 3 · -2x = -6x
...and to 9.
2x + 3(-2x + 9) = 3 ⇒ 3 · 9 = 27
now you're left with 2x - 6x + 27 = 3.
combine like terms.
2x - 6x + 27 = 3 ⇒ -4x + 27 = 3
subtract 27 from both sides of the equation. since +27 and -27 cancel each other out, you're left with subtracting 27 from 3, which gives you -24.
now your equation is -4x = -24.
divide both sides of the equation by -4.
-24/-4 = 6
...therefore x = 6.
since you have your x value now, you can plug that into the equation for y in order to solve for y.
y = -2x + 9 ⇒ y = -2(6) + 9
multiply -2 and 6.
y = -2(6) + 9 ⇒ y = -12 + 9
add -12 and 9.
y = -12 + 9 ⇒ y = -3
...and now you've solved for y, which is -3.
therefore, your solution is (6, -3), aka x = 6 and y = -3.
hope this helps! have a nice day <3
