Good morning ☕️
Answer:
<h2>(-2 , 3)</h2>
Step-by-step explanation:
It’s easier to isolate y in the first equation because the coefficient of y there is just 1.
the coefficient of x in the first equation is -3 and in the second equation is 2 then it’s not easy to isolate x in both equation.
solving the system:
−3x + y = 9
2x + 4y = 8
⇔
y = 3x + 9 (*)
2x + 4y = 8
now, we substitute y by 3x + 9 in equation 2:
2x + 4(3x + 9) = 8 ⇔ 14x + 36 = 8 ⇔ 14x = - 28 ⇔ x = -28/14 = -2
at this stage we substitute x by -2 in (*) to get y:
y = 3x + 9 ⇒ y = 3(-2) + 9 = -6 + 9 = 3
finally, the solution of the system is the ordered pair (-2 , 3).
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