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Katena32 [7]
2 years ago
15

PLEASE HELP 100 points and brainliest. y= 3x — 5 y=6x — 8 solve with elimination

Mathematics
1 answer:
makvit [3.9K]2 years ago
4 0
<h2><u>Let's solve for X using elimination</u></h2><h2>\boxed{\fcolorbox{y=3x-5}}</h2><h3>Step 1: Flip the equation around:</h3><h3>\boxed{\fcolorbox{3x-5=y}}</h3><h3>Step 2: Add 5 to either side</h3><h3>\boxed{\fcolorbox{3x-5+5=y+5\\}}    </h3><h3>\boxed{\fcolorbox{3x=y+5\\}}</h3><h3>Step 3: Divide both sides by 3.</h3><h3>\boxed{\fcolorbox{\frac{3x}{3}=\frac{y+5}{3}  \\}}</h3><h3>\boxed{\fcolorbox{x=\frac{1}{3}y+\frac{5}{3}  \\}}              </h3><h3 /><h3>Answer is: \boxed{\fcolorbox{x=\frac{1}{3}y+\frac{5}{3}  \\}}.</h3><h3></h3><h3 />

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An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?
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<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

24.9^{\circ} and 65.1^{\circ}

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to 90^{\circ}.

Let a be the measure of the complementary angle.

If an angle is 40.2^{\circ} more than its complementary angle, the measure of that angle is a +40.2. The sum of both angles are expressed a +(a +40.2) but since the have to add to 90 as they are complementary, a +(a +40.2) = 90.

Solving for a:

a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9

Since the other angle measures a +40.2, we can plug in the value of a to find the measure of the angle.

Evaluating a +40.2:

a +40.2 \\ 24.9 +40.2 \\ 65.1

The measure of the angles are 24.9^{\circ} and 65.1^{\circ}

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3 years ago
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