Question

1) : 2x + 5y = 12 a. (1,?) b. (?, 1) C. (0,?) d. (?, 0)​

Answer 1

A. y = 2

B. x = 7/2

C. y = 12/5

D. x = 6

Explanation:

A. Determination of y .

2x + 5y = 12

x = 1

2(1) + 5y = 12

2 + 5y = 12

Collect like terms

5y = 12 – 2

5y = 10

Divide both side by 5

y = 10 / 5

y = 2

B. Determination of x

2x + 5y = 12

y = 1

2x + 5(1) = 12

2x + 5 = 12

Collect like terms

2x = 12 – 5

2x = 7

Divide both side by 2

x = 7/2

C. Determination of y

2x + 5y = 12

x = 0

2(0) + 5y = 12

0 + 5y = 12

5y = 12

Divide both side by 5

y = 12/5

D. Determination of x

2x + 5y = 12

y = 0

2x + 5(0) = 12

2x + 0 = 12

2x = 12

Divide both side by 2

x = 12/2

x = 6