2 years ago

Which ordered pair is the solution to the system of equations ?

Mathematics

1 answer:

dexar [7]2 years ago

6 0

Answer:

Step-by-step explanation:

Given the2 equations

y = x + 4 → (1)

x + y = 2 → (2)

Substitute y = x + 4 into (2)

x+ x + 4 = 2

2x + 4 = 2 ( subtract 4 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Substitute x = - 1 into (1) for corresponding value of y

y = - 1 + 4 = 3

solution is (- 1, 3 ) → c

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Estimate the sum 7 8/9 + 3.1

Yanka [14]

Answer:

$\large\boxed{7\dfrac{8}{9}+3.1=10\dfrac{89}{90}}$

Step-by-step explanation:

$\text{Convert the decimal to the fraction:}\\\\3.1=\dfrac{31}{10}=3\dfrac{1}{10}\\\\7\dfrac{8}{9}+3.1=7\dfrac{8}{9}+3\dfrac{1}{10}\\\\\text{The common denominator is 90.}\\90=9\cdot10\\\\7\dfrac{8}{9}=7\dfrac{8\cdot10}{9\cdot10}=7\dfrac{80}{90}\\\\3\dfrac{1}{10}=3\dfrac{1\cdot9}{10\cdot9}=3\dfrac{9}{90}\\\\\\7\dfrac{8}{9}+3.1=7\dfrac{80}{90}+3\dfrac{9}{90}=(7+3)+\dfrac{80+9}{90}=10\dfrac{89}{90}$