In the following equations, a and b are equal. Which number could be substituted for both a and b to make both equations correct?

15x0=-36+a

24x8x0=36-b

a.-36

b. 51

c. 36

d.-51

Question

Mathematics

Karissa Dougherty

16 June, 00:44

In the following equations, a and b are equal. Which number could be substituted for both a and b to make both equations correct?

15x0=-36+a

24x8x0=36-b

a.-36

b. 51

c. 36

d.-51

+5

Answers (1)

Know the Answer?

Dominic Duran · Answer 1

The Answer is c. 36

Proof.

Solve the following system:

{0 = a - 36 | (equation 1)

{0 = 36 - b | (equation 2)

Express the system in standard form:

{-a+0 b = - 36 | (equation 1)

{0 a+b = 36 | (equation 2)

Multiply equation 1 by - 1:

{a+0 b = 36 | (equation 1)

{0 a+b = 36 | (equation 2)

Collect results:

Answer: {a = 36 {b = 36

In the following equations, a and b are equal. Which number could be substituted for both a and b to make both equations correct?15x0=-36+a24x8x0=36-ba.-36b. 51c. 36d.-51

In the following equations, a and b are equal. Which number could be substituted for both a and b to make both equations correct?

15x0=-36+a

24x8x0=36-b

a.-36

b. 51

c. 36

d.-51