Substitute what you know y is equal to into the equation:
y = x + 2
3/2x - 2 = x + 2
Then you can simplify your equation by multiplying both sides by 2 to eliminate the fraction which will give you:
3x - 4 = 2x + 4
Add the -4 to the other side to get 8 and subtract the 2x from the 3x so you have:
x = 8 Now solve for y by substituting your value for x into the other equation:
y = 3/2(8) - 2 Simplify by combining your numbers and you get:
y = 10 Check your answer by substituting y and x into the original equation:
(10) = (8) - 2
Correctly done! So your answers are x = 8 and y = 10
Hey there!
<u>Solve </u><u>for </u><u>x </u><u>:</u>
x = 6 ✅
3x - 2 = 16
<em>></em><em>></em><em> </em><em>Add </em><em>2</em><em> </em><em>to </em><em>both </em><em>sides </em><em>:</em>
3x - 2 + 2 = 16 + 2
3x = 18
<em>></em><em>></em><em> </em><em>Divide </em><em>e</em><em>ach </em><em>side </em><em>by </em><em>3</em><em> </em><em>:</em>
3x / 3 = 18 / 3
x = 6
▪️Let's verify :
3(6) - 2 ⇔18 - 2 ⇔ 16
Therefore, your answer is x = 6
Learn more about first-degree equations :
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The value of
- m∠PQS = 71°
- m∠PQT = 142°
- m∠TQR = 41°
Given
SQT = (8x₋25) and PQT = (9x₊34)
SQR = 112°
we need to find the x angle and the remaining angles.
we know that QS bisects ∠PQT
⇒ 2(8x₋25)° = (9x₊34)°
(16x ₋ 30)° = (9x₊34)°
16x ₋ 9x = 34 ₋ 30
x = 12°
substitute x value in the given values of angles.
m∠PQS = (8x ₋ 25)° = (8(12)₋25) = 71°
m∠PQT = (9(12)₊34) = 142°°
m∠TQR = 112° ₋ ∠PQS = 112° ₋ 71° = 41°
hence we get the desired angles from the given angles.
Learn more about Angles here:
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Answer:
identity
Step-by-step explanation:
