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2 years ago

Solve the system of equations by ELIMINATION.

Mathematics

1 answer:

Dafna1 [17]2 years ago

6 0

Step-by-step explanation:

4x + 2y = 10 --------(1)

2x + 3y = 33 -----------(2)

Multiply 2 with eq. (1) and 4 with eq. (2)

8x + 4y = 20 ____________(3)

8x + 12y = 132 ______(4)

Subtracting (3) from (4),

8x + 4y = 20

- 8x -12y = -132

----------------------

0 -8y = -112

y = 112/8

y = 4 is the answer.

Putting the vakue of y in eq. (2),

2x + 12 = 33

2x = 33-12

2x = 21

x = 21/2 is the answer.

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Work Shown:

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ohaa [14]

Answer:

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Step-by-step explanation:

Fact:

$\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}$ .

In other words, $(a^{2} - b^{2})$ , the difference of two squares in the form $a^{2}$ and $b^{2}$ , could be factorized into $(a - b)\, (a + b)$ .

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Step-by-step explanation:

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Answer:

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