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Tpy6a [65]
2 years ago
15

What is the solution of the system of equations 2x-5y=11 and -2x+3y=-9

Mathematics
1 answer:
Rainbow [258]2 years ago
6 0
Equation 1:
x = (5y+11)/2
Substitute equation 1 to 2:
-2((5y+11)/2)+ 3y=-9
-2/2 = -1 thus -1(5y+11)

Continue...
-(5y+11)+3y=-9
-5y-11+3y =-9
(-5+3)y= 11-9
-2y = 2
y=-1

Substitute y into equation 1:
x=(5*-1+11)/2
x = 6/2=3

So y=-1 and x =3
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Using translation concepts, it is found that the transformations to create function d are given as follows:

  • Horizontal shift right 1 unit.
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<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent cosine function is given by:

f(x) = cos(x).

The translated function is given by:

d(x) = cos(2x - 1) + 5.

Which means that:

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More can be learned about translation concepts at brainly.com/question/4521517

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