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