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vovangra [49]
3 years ago
8

Solve the system of equations using substitution y=-4x+5 y=3x-16

Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0

Answer:

(7 -7)

Step-by-step explanation:

Y= -4x +5-----------1

Y= 3x -16----------2

Y-5= 4x

X= (y-5)/4

Substitute in (eqn 2)

( tired )

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Complete the equations so that the solution of the system of equations is (−1, −4). y= ?X−11 6x− ? Y=10
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Answer:

y = –7x – 11

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Step-by-step explanation:

From the question given above, we obtained:

x = –1

y = –4

y = ?x – 11 ....... (1)

6x – ?y = 10b......... (2)

Let the two unknown be a and b. Thus the above equation becomes:

y = ax – 11 ......... (3)

6x – by = 10 .......(4)

Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:

For a:

y = ax – 11

x = –1

y = –4

–4 = a(–1) – 11

–4 = –a – 11

Collect like terms

–4 + 11 = –a

7 = –a

Multiply through by –1

a = –7

For b:

6x – by = 10

x = –1

y = –4

6(–1) – b(–4) = 10

–6 + 4b = 10

Collect like terms

4b = 10 + 6

4b = 16

Divide both side by 4

b = 16 / 4

b = 4

Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.

y = ax – 11

a = –7

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6x – by = 10

b = 4

6x – 4y = 10

Therefore, the complete equation are:

y = –7x – 11

6x – 4y = 10

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