Question

Solve the system of equations using substitution. −2x + y = 3.5
−2y = 3x​

Answer 1

$\large\red{\underline{{\boxed{\textbf{Brainliest\:Answer}}}}}$

$\rule{200}{2}$

$\red{\bold{{\underline{ Solution \: of\: above \: Equation \: :}}}}$

$\huge\boxed{x=-1;\ y=-1.5}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}-2x+y=3.5\\-2y=3x&\text{divide both sides by (-2)}\end{array}\right\\\left\{\begin{array}{ccc}-2x+y=3.5&(1)\\y=-1.5x&(2)\end{array}\right\\\\\\\text{Substitute (2) to 1):}\\-2x+(-1.5x)=3.5\\-2x-1.5x=3.5\qquad\text{combine like terms}\\-3.5x=3.5\qquad\text{divide both sides by (-3.5)}\\\dfrac{-3.5x}{-3.5}=\dfrac{3.5}{-3.5}\\\boxed{x=-1}\\\\\text{Substitute it to (2):}\\y=1.5(-1)\\\boxed{y=-1.5}$

$\rule{200}{2}$

$\boxed{\bold{\red{Keep\: Asking\: - \: Be \: Brainly}}}$

Answer 2

Given:-

$\mapsto \sf -2x + y = 3.5$

$\mapsto \sf -2y = 3x$

To find:-

$\sf Value \: of \: x \: and \: y$

Solution:-

Given that:-

$\implies \sf -2x + y = 3.5$ ___(1)

$\implies \sf -2y = 3x$ ___(2)

From equation (1) we will get:-

$\implies \sf -2x + y = 3.5 \\ \implies \sf y = -1.5x$ __(3)

Substituting the value of (3) in equation (1) we will get:-

$\implies \sf -2x + (-1.5x) = 3.5 \\ \\ \implies \sf -2x - 1.5x = 3.5 \\ \\ \implies \sf -3.5x = 3.5 \\ \\ \implies \sf \dfrac{-3.5x}{-3.5} \\ \\ \implies \sf x = 1$. ___(4)

Now here we get the value of x

Now substituting the value of (4) in (2)

$\mapsto \sf y = 1.5(-1) \\ \\ \implies \sf y = -1.5$

Answers:-

$\large {\boxed {\boxed {\red {\sf {x = -1 \: \: and \:y = -1.5}}}}}$

Finally we are done

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