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bearhunter [10]

4 years ago

11

Solve the system of equations using the Substitution Method (show work)

1 answer:

FromTheMoon [43]4 years ago

3 0

Since both equations have 3y, we will substitute 3y.
2x-3y = 20 eq 1
rearrange
2x - 20 = 3y
sub the value of 3y into eq2
11x + (2x-20) = -1
11x + 2x - 20 = -1
13x = 19
x =19/13

sub value of x into any equation
2(19/13) - 3y =20
38/13 - 20 = 3y
-222/13 = 3y
y = -74/13

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Read 2 more answers

If triangle ABC is an equilateral triangle and BD = 36 inches, find the value of x

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The value of x is $24\sqrt{3}\ in$

Step-by-step explanation:

we know that

An equilateral triangle has three equal sides and three equal internal angles (each internal angle measure 60 degrees)

In this problem

see the attached figure to better understand the problem

In the right triangle ABD

$sin(60\°)=BD/AB$

Solve for AB

$AB=BD/sin(60\°)$

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$BD=36\ in$

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substitute

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