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Natalija [7]
3 years ago
8

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
Mathematics
1 answer:
True [87]3 years ago
8 0
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
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