Solve using the substitution method. \(\displaystyle{2}{x}+{5}{y}={13}\) \(\displaystyle{x}={4}-{2}{y}\) Select the

kembdumatxf

kembdumatxf

Answered question

2022-03-21

Solve using the substitution method.
2x+5y=13
x=42y
Select the correct choice below and fill in any answer boxes in your choice.
A. The solution is ___ .
(Simplify your answer. Use integers or fractions for any numbers in theexpression. Type an ordered pair.)
B. There are infinitely many solutions. The solution set is {(x.y)2x+5v=13}.
C. There is no solution.

Answer & Explanation

Mikaela Winters

Mikaela Winters

Beginner2022-03-22Added 14 answers

Step 1
It is given that
2x+5v=13 ... ... (1)
x=42 ... ... (2)
By substitution method
Put the value x from equation (2) in equation (1) weget
2(42y)+5y=13
Simplify
84y+5y=13
y=5
Step 2
Now put the value of y in equation (2) we get
x=42×5
x=6
Hence the solution are x=6, y=5
Option (A) is correct.

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