Answer: D
Step-by-step explanation:
Consider the first equation. Subtract 3x from both sides.
y−3x=−2
Consider the second equation. Subtract x from both sides.
y−2−x=0
Add 2 to both sides. Anything plus zero gives itself.
y−x=2
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
y−3x=−2,y−x=2
Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.
y−3x=−2
Add 3x to both sides of the equation.
y=3x−2
Substitute 3x−2 for y in the other equation, y−x=2.
3x−2−x=2
Add 3x to −x.
2x−2=2
Add 2 to both sides of the equation.
2x=4
Divide both sides by 2.
x=2
Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.
y=3×2−2
Multiply 3 times 2.
y=6−2
Add −2 to 6.
y=4
The system is now solved.
y=4,x=2
Answer:
50°
Step-by-step explanation:
Transformation is the movement of one point from its initial location to a final location. If an object is transformed, all its points are transformed. Types of transformation is reflection, dilation, rotation and translation.
If an object is translated, it maintains its shape and size as well as the length of its sides and angles, only the location changes.
If polygon LMNP with ∠M of 50° is translated 5 units right and 4 units down to a new point, M' has the same angle measure. Hence ∠M' = 50°
The cups of milk Laura gave to Maria is 19/12 cups is 19/12 cups
<h3>How to calculate fraction</h3>
- Total cups of milk to share = 2 1/4 cups
Total = Laura + Maria
2 1/4 = x + 2/3
2 1/4 - 2/3 = x
9/4 - 2/3 = x
(27-8) / 12 = x
19/12 = x
= 1 7/12
Therefore, the cups of milk Laura gave to Maria is 19/12 cups
Learn more about fraction:
brainly.com/question/11562149
Add all the angle and =to 180 because all the angle in a triangle add up to 180 then put all numbers on one side and all x terms on the other side then you find x
