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lbvjy [14]
2 years ago
10

I need help on this, will someone try and help me out? PLEASE

Mathematics
2 answers:
sattari [20]2 years ago
7 0
Step 1.) Multiply both sides of the equation by -6

step 2.) Sum the equations vertically to eliminate at least one variable

step 3.) Divide both sides of the equation by

step 4.) Substitute the given value of into the equation x - 2y = 10

step 5.) Solve the equation for x

step 6.) The possible solution of the system is the ordered pair (x , y)

step 7.) Check if the given ordered pair is the solution of the system of equations

step 8.) Simplify the equalities

step 9.) Since all of the equalities are true, the ordered pair is the solution of the system


So your answer would end up being (40/13 , -45/13) !! Hope that helps you out :D !!
kumpel [21]2 years ago
7 0

Answer:

x=4 y=-3

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

x−2y=10 ; 6x+3y=15

Step: Solve x −2y= 10for x:

<em>x − 2y + 2y = 10 + 2y</em><em> </em>(Add 2y to both sides)

<em>x=2y+10</em>

Step: Substitute 2y+10 forx in 6x+3y=15:

<em>6x+3y=15</em>

<em>6x+3y=156(2y+10)+3y=15</em>

<em>15y</em><em>+</em><em>60</em><em>=</em><em>15</em><em> </em>(Simplify both sides of the equation)

<em>15y+60+−60=15+−60</em><em> </em>(Add -60 to both sides)

15y=−45

<em>15y</em><em>/</em><em>15=−45</em><em>/</em><em>15</em>(Divide both sides by 15)

y=−3

Step: Substitute −3 for y inx=2y+10:

x=2y+10

x=(2)(−3)+10

x=4(Simplify both sides of the equation)

Answer:

x=4 and y=−3

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4 0
3 years ago
On Fridays, Jerry stops at Steak &amp; Taco Shack before he goes home. This week
Vika [28.1K]

Answer:

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

Step-by-step explanation:

Let :

Steak sandwich = x

Cheese fries = y

Taco salad = z

This week:

x + 2y + 2z = 11.50 - - - - (1)

Last week :

2x + 3y + z = 15.25 - - - (2)

Two weeks ago :

x + 4y + z = 13 - - - - - (3)

Taking (1) and (2)

x + 2y + 2z = 11.50 ___(1)

2x + 3y + z = 15.25 ___(2)

Multiply (1) by 2 and (2) by 1 and subtract

2x + 4y + 4z = 23

2x + 3y + z = 15.25

_______________

y + 3z = 7.75 - - - - (4)

Taking (2) and (3)

2x + 3y + z = 15.25 - - (2)

x + 4y + z = 13 - - - - - (3)

Multiply (2) by 1 and (3) by 2 and subtract

2x + 3y + z = 15.25

2x + 8y + 2z = 26

______________

-5y - z = - 10.75 - - - - - (5)

Lets solve (4) and (5)

y + 3z = 7.75 - - - - (4) - - - multiply by 5

-5y - z = - 10.75 - - - - - (5) - - - multiply by 1

Then add the result :

5y + 15z = 38.75

-5y - z = - 10.75

____________

14z = 28

z = 28 / 14

z = 2

To find y ; put z = 2 in (4)

y + 3z = 7.75

y + 3(2) = 7.75

y + 6 = 7.75

y = 7.75 - 6

y = 1.75

From equation 3 ;

x + 4y + z = 13 - - - - - (3)

x + 4(1.75) + 2 = 13

x + 7 + 2 = 13

x + 9 = 13

x = 13 - 9

x = 4

Hence,

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

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