Question

6x + 3y = 9

2x + 3y = 1

Solve the system of equations.

A) x = 2, y = -1
B) x = -1, y = 2
C) x = -1/2, y = 3
D) x = 3, y = -1/2

Answer 1

6x + 3y = 9
2x + 3y = 1
subtracting both equation we get
4x = 8 then
x = 2 and putting the value of x in any one equation we get the value of y
that is y = -1
options A is correct

Answer 2

Solution 1 ▶6(x )+ 3(y) = 9

Solution 2 ▶2(x) + 3(y) = 1

Graphic organizer ▶3(y) + 6(x) = 9⬇
3(y)+ 2(x) = 1

Solution 2⬇
keep in mind the '2' becomes a negative!

▶3(y) = -2(x) + 1
▶(y) = -2(x) ÷ 3 + 1 ÷ 3

Solution 1⬇
x-intercept

6(x )+ 3(-2)(x)÷3+1÷3) = 9
▶ 4(x) = 8
▶4(?) = 8
▶x = 2

y-intercept⬇

▶(y) = -2(x)÷3+1÷3
▶(y) = (-2÷3)(2)+1÷3 = -1
▶y= -1

x-intercept: 2
y-intercept: -1

So, therefore your answer for this problem would have to be option A. x =2 , y = -1