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Solve each system using substitution. Check your answer
x+3=y
3x+4y=7

Sagot :

GilliamKathren

Answer:

x = -5/7

y = 16/7

Step-by-step explanation:

3x + 4y = 7

3x + 4(x+3) = 7

3x + 4(x) + 4(3) = 7

3x + 4x + 12 = 7

7x + 12 = 7

7x + 12 - 12 = 7 - 12

7x = -5

7x ÷ 7 = -5 ÷ 7

x = -5/7

---------------------------------------

x + 3 = y

(-5/7) + 3 = y

16/7 = y

-----------------------------------------

3x + 4y = 7

3(-5/7) + 4(16/7) = 7

-15/7 + 64/7 = 7

7 = 7

The required value of the x and y by substitution method is -5/7 and 16/7 respectively.

Given,
System of equation
x+3=y
3x+4y=7

To solve using the substitution method.

What is the equation?

The equation is the values of two functions  that are equal.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

x + 3 = y - - - - -(1)
3x + 4y = 7 - - - -(2)

from equation 1 substitute y in equation 2

3x + 4( x +3 ) = 7
3x + 4x + 12 = 7
7x = 7 - 12
7x = -5
x = -5/7
put this x on equation 1
-5/7 +3 = y
y = 16/7

Thus the required value of the x and y by substitution is -5/7 and 16/7 respectively.

Learn more about equation here:
https://brainly.com/question/10413253

#SPJ2


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