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laila [671]
3 years ago
10

Solve the linear system of equations using the linear combination method

Mathematics
1 answer:
scoundrel [369]3 years ago
6 0

Answer:

x = -2

y = 3

Step-by-step explanation:

Write the system the following way:

4x + 5y = 7

-3x +y  = 9

we need to eliminate one unknown by multiplying one equation for a suitable number in such a way that when we add the equations one unknown is eliminated.

If we multiply the second eq. by -5 the y is eliminated

4x + 5y = 7

15x -5y = -45

add the equations

19x = -38 ===> x = -38/19 ===> x = -2

Now replace this value in any equation to get y. For example, in 1st one.

4(-2) + 5y = 7 ===> -8 +5y = 7 ===> 5y = 7+8 ===> 5y = 15 ===> y = 15/5 ===>

y=3

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4 years ago
What is 3x+5-x=2(x-1)-4
Romashka-Z-Leto [24]

Answer:

No solution

Step-by-step explanation:

3x + 5 - x = 2(x-1)-4        

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2x =  2x - 6 - 5              Subtract 5, add like terms

2x = 2x - 11                    Add like terms

0  ≠ -11                           Subtract 2x to keep variables on one side

                                     Since zero does not equal -11, there are no solutions

4 0
3 years ago
HELP ME PLEASE! I WILL GIVE BRAINLIEST LOTS OF POINTS
azamat
Number the tables as follows:

1  2
3  4

Eliminate 3 and 4 immediately, because for x = 2 the y values are wrong (3 and 1).

In tables 1 and 2, the input (1) produces the correct output (-1).

So we have to determine which table agrees 100% with the system of equations given.

Comparing tables 1 and 2, row by row, we see that their contents are the same EXCEPT for the first rows.  So focus on determing which of those 2 rows displays values that satisfy both given equations.

First I looked at y=2x-5, and subst. -1 for x.  I got -7, which is correct in table 1 but not in table 2 (where the value would be -13).

Thus, table 1 correct represents the solution of the system of equations.
6 0
3 years ago
Read 2 more answers
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