Question

What is the solution to the system of equations below?

x + 3 y = 15 and 4 x + 2 y = 30


What is the solution to the system of equations below?

x + 3 y = 15 and 4 x + 2 y = 30


(6, 3)

(7, –6)

(3, 6)

(–6, 7)

Answer 1

C.) 4,3

Explanation:

The given system of equations is:

x + 3y = 15

4x + 2y = 30

The first equation can be rewritten as:

y = (15 - x)/3

Substituting this expression for y into the second equation gives:

4x + 2((15 - x)/3) = 30

Solving for x, we get:

x = 4

Substituting this value of x back into the first equation gives:

y = (15 - 4)/3 = 3

Therefore, the solution to the system of equations is (4,3).

Answer 2

(6,3)

Explanation:

x+3y=15

6+3×3=15

6+9=15

15=15

again

4x+2y=30

4×6+2×3=30

24+6=30

30=30

Hence the answer is (6,3)