Question

HELP ASAP I GIVE U BIG BRAIN AND 100 points!!Question 7
Solve the system of equations by elimination. Express the solution as an ordered pair.

3x−5y=11
x−4y=−8

Answer 1

(12, 5)

equations:

• $\sf 3x-5y=11$ ---- equation 1

• $\sf x-4y=-8$  ---- equation 2

To solve with elimination, either the x or y coefficient should be similar.

• so we will multiply 3 with the second equation.

Then,

$\sf 3x-5y=11$

$\sf 3x-12y=-24$

==============       [ subtract equation 2 from equation 1 ]

$\sf 7y = 35$

$\sf y = 5$

For x,

$\sf 3x-5(5)=11$

$\sf 3x-25=11$

$\sf 3x=11+25$

$\sf x=\dfrac{36}{3}$

$\sf x=12$

In ordered pair: (x,y) → (12, 5)