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2 years ago

Which ordered pair is a solution to the system of linear equation? 2x+ 3y=6 -3x+5y=10

Mathematics

1 answer:

allochka39001 [22]2 years ago

6 0

Answer:

Step-by-step explanation:

2x + 3y = 6________( 1 )

-3x + 5y = 10_______( 2 )

( 1 ) × 3 ---- 6x + 9y = 18_____( 3 )

( 2 ) × 2 ---- -6x + 10y = 20_____( 4 )

$(4) + (3) \\ 6x + 9y + ( - 6x + 10y) = 20 - 18 \\ 6x + 9y - 6x - 10y = 2 \\ y = 2$

y = 2 ,

$2x + 3y = 6 \\ 2x + 3(2) = 2 \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ 2x = - 4 \\x = \frac{ - 4}{2} \\ x = ( - 2) \\$

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3 years ago

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!

aivan3 [116]

Hello and Good Morning/Afternoon

<u>Let's take this problem step-by-step</u>:

<u>To find the solution to a system of equation</u>

⇒ <em>must set</em> the equations equal to each other

⇒ and solve

<u>Let's put that into action</u>

$x^2-2x+3 = -2x + 12\\x^2-2x+2x+3-12=0\\x^2-9=0\\(x+3)(x-3)=0$

At this point, to make the whole thing equal zero

⇒ either 'x+3' or 'x-3' equals zero

⇒ must find 'x' that satisify either equation

$x-3=0\\x=3\\\\x+3=0\\x=-3$

<u>Let's find the corresponding f(x) to each x-value</u>

$f(3) = -2(3)+12=-6+12 = 6\\\\f(-3) = -2(-3) + 12=6+12=18$

<u>Therefore the solutions are (3,6) and (-3,18)</u>

<u />

<u>Answer: (3,6), (-3,18)</u>

<u></u>

Hope that helps!

#LearnwithBrainly

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