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Harrizon [31]
4 years ago
13

Use linear combination method to solve the system of equations. explain each step of your solition. ypu must show all work to re

vieve dull credit!!!
2x - 3y = 13
x + 2y = -4
Mathematics
1 answer:
ELEN [110]4 years ago
4 0
2x-3y=13 equation (1)
x+2y=-4 equation (2) 

multiply equation (2) by -2
-2x-4y=8 now we got equation (3)

Add equations(1) and (3) and combine like terms
2x-2x-3y-4y=13+8
-7y=21
y=-21/7= -3

substitute y with -3 in equation (2) and solve
<span>x+2(-3)=-4
</span>x-6=-4
x= -4+6
x=2

the solution for the system of equations is x=2, y= -3




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timama [110]

Answer:

The blue point will be at (4, 3)

Step-by-step explanation:

Numbers inside the parenthases only affect x, but are revered. If it is -4, move right 4. lf it is 4, move left 4.

Numbers after the patentheses affect the movement of y. When the point is at (4, 0), move up 3.

8 0
4 years ago
What is the area of this figure? <br><br> ___ units^2
enot [183]

Answer:

42\ units^{2}

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a rectangle plus the area of two triangles

<u>Find the area of rectangle</u>

Observing the graph

The area of rectangle is equal to

A=bh=(2+5)(2+2)=28\ units^{2}

<u>Find the area of the top triangle</u>

A=\frac{1}{2}bh=\frac{1}{2}(2+5)(4-2)=7\ units^{2}

<u>Find the area of the bottom triangle</u>

A=\frac{1}{2}bh=\frac{1}{2}(2+5)(-2+4)=7\ units^{2}

the area of the figure is equal to

A=28\ units^{2}+7\ units^{2}+7\ units^{2}=42\ units^{2}

5 0
3 years ago
On Mondays, Wednesdays, and Fridays, Luke packs his lunch. On Tuesdays and Thursdays, Luke buys his lunch. Draw a non-numeric pa
Lesechka [4]

The non-numeric pattern that shows the pattern of Luke's lunch for two weeks is P B P B P P B P B P

<h3>What are patterns and sequence?</h3>

Patterns are simply the rules that guides the formation of a numeric or non-numeric sequence

From the question, we have the following highlights

  • Pack lunch (P): Mondays, Wednesdays, and Fridays.
  • Buy lunch (B): Tuesdays and Thursdays,

Using the above representation, the non-numeric pattern that shows the pattern of Luke's lunch for two weeks can be represented as P B P B P P B P B P

Read more patterns and sequence at:

brainly.com/question/15590116

5 0
3 years ago
Which figure is a translation of figure 1?
snow_tiger [21]

Answer:

triangle 4.

Step-by-step explanation:

A translation only moves vertically or (and) horizontally our image.

This means that a translation does not change the size

A translation does not rotate the image.

Then a translation of triangle 1 needs to have the same size than triangle 1, and the same "direction" (in triangle 1 we can see that the hypotenuse is at the right side, then in the translated triangle we also should have the hypotenuse at the right side).

Then the only option that seems correct is triangle 4

7 0
3 years ago
What is 1 5/8 rounded to the nearest half A.1 B.1 1/2 C.2 D.2 1/2
Ipatiy [6.2K]
1 1/2 I think is the answer
4 0
3 years ago
Read 2 more answers
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