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Luden [163]
3 years ago
5

2x + 5y = 14 4x + 2y = -4 solving with elimination​

Mathematics
2 answers:
melamori03 [73]3 years ago
8 0

Answer:

(- 3, 4 )

Step-by-step explanation:

2x + 5y = 14 → (1)

4x + 2y = - 4 → (2)

multiplying (1) by - 2 and adding to (2) will eliminate the x- term

- 4x - 10y = - 28 → (3)

add (2) and (3) term by term to eliminate x

0 - 8y = - 32

- 8y = - 32 ( divide both sides by - 8 )

y = 4

substitute y = 4 into either of the 2 equations and solve for x

substituting into (1)

2x + 5(4) = 14

2x + 20 = 14 ( subtract 20 from both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

solution is (- 3, 4 )

m_a_m_a [10]3 years ago
6 0

Answer: x=-\frac{3}{179} =\\-0.016759777\\y=-\frac{142}{179} =\\-0.793296089

Step-by-step explanation: steps using substitution

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\bf ~~~~~~~~~~~~\textit{internal division of a line segment}&#10;\\\\\\&#10;A(-4,-8)\qquad B(11,7)\qquad&#10;\qquad \stackrel{\textit{ratio from A to B}}{3:7}&#10;\\\\\\&#10;\cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(-4,-8)=3(11,7)\\\\[-0.35em]&#10;~\dotfill\\\\&#10;C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em]&#10;~\dotfill


\bf C=\left(\cfrac{(7\cdot -4)+(3\cdot 11)}{3+7}\quad ,\quad \cfrac{(7\cdot -8)+(3\cdot 7)}{3+7}\right)&#10;\\\\\\&#10;C=\left( \cfrac{-28+33}{10}~~,~~\cfrac{-56+21}{10} \right)\implies C=\left( \cfrac{5}{10}~~,~~\cfrac{-35}{10} \right)&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;~\hfill C=\left( \frac{1}{2}~,~-\frac{7}{2} \right)~\hfill

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