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Harlamova29_29 [7]
3 years ago
9

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?

Mathematics
2 answers:
otez555 [7]3 years ago
4 0

The solution (-4,2) satisfies for the system of linear equations 3x + 13y = 14; 6x + 11y = -2

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

Step 1:

Given detail is the solution of the equations (-4, 2) ie, x= - 4 and y = 2

This implies that this solution should satisfy the given linear equations.

Step 2:

Substitute values of x and y in the equations and verify whether the right hand side equals the left hand side.

System 1 Eq(1) ⇒ LHS = 3(-4) + 13 (2) = -12 + 26 = 14 = RHS

System 1 Eq(2) ⇒ LHS = 6(-4) + 11(2) = -24 + 22 = -2 = RHS

Therefore, the first system of linear equations satisfy the condition.

Marat540 [252]3 years ago
3 0

Answer:

Selection A is the correct answer i took test

Step-by-step explanation:

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Steph runs a vehicle body repair shop with one mechanic in Cleveland. Repair time for vehicles is exponentially distributed, wit
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3 years ago
The sum of two numbers is 62, and their difference is 12. What are the numbers?
Ede4ka [16]
X + y = 62 

x - y = 12

Move x over so y is alone in one of the above equations,

y = 62-x

Now substitte in y

x-(62-x) = 12

x - 62 + x = 12

2x = 12 + 62

2x/2 = 74/2

x = 37

Now for y sub in the x!

x + y = 62

(37) + y = 62

y = 62 - 37

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So 25 + 37 =62

and 37 - 25 = 12


Method 2 :
Start by stacking the 2 original equations from above,

x+y=62
x-y=12
You want to "cancel" out one of the variable so,

x+y=62
+  +  =  +
x - y =12

So then you add,

2x = 74

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x = 37.

Now you can once again sub it back into the original equation to solve for y,

x+y=62
(37)+y=62
y=62-37
y=25

Hope this helps!








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Step-by-step explanation:

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