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Dmitry_Shevchenko [17]
3 years ago
12

Y=2x+3 y=3x+1 solve the system of equations using substitution

Mathematics
2 answers:
marishachu [46]3 years ago
7 0

Answer:

x= 2 and y= 7

Step-by-step explanation:

Substitution method involves getting value of one variable from one equation in terms of other variable and putting this in second equation to eliminate and find value of other variable.

Here we have

y=2x + 3

in first equation and putting this in second equation, we get

2x + 3 = 3x + 1 or

2x - 3x = 1 -3 or

-x = -2

i.e.

x = 2

Putting this Vale of x back in first equation, we get

y = 2 × 2 + 3 = 7

Hence we get x = 2 and y = 7.

Lynna [10]3 years ago
4 0

Answer:

(2, 7 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = 3x + 1 → (2)

Substitute y = 3x + 1 into (1)

3x + 1 = 2x + 3 ( subtract 2x from both sides )

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Substitute x = 2 into either of the 2 equations for corresponding value of y

Substituting x = 2 into (1)

y = 2(2) + 3 = 4 + 3 = 7

Solution is (2, 7 )

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Let's make things easier by simplifying things.

y = 8 and x = 3 is more likely to be understood as a ratio. So for the rest of the answer, their relationship would be represented as y:x

Thus: y:x = 8:3

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Let us proceed on using the previous equation and substitute x with 45 which would look like this:

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Then we proceed with a cross multiplication where the equation becomes like as what is shown below:

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Another way of looking at the problem, especially problems like these, is to take the whole question or statement as an equation. it would probably look like this:

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