What is the solution to the following system of equations?

x − 3y = 6
2x + 2y = 4

(-1, 3)
(3, -1)
(1, -3)
(-3, 1)

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 6 → (1)

2x + 2y = 4 → (2)

Rearrange (1) expressing x in terms of y by adding 3y to both sides

x = 6 + 3y → (3)

Substitute x = 6 + 3y into (2)

2(6 + 3y) + 2y = 4 ← distribute and simplify left side

12 + 6y + 2y = 4

12 + 8y = 4 ( subtract 12 from both sides )

8y = - 8 ( divide both sides by 8 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 6 + 3(- 1) = 6 - 3 = 3

Solution is (3, - 1 )

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.