Solve the system of equations by elimination. \(\displaystyle{2}{a}+{5}{b}={18}\)

wibawanyacl3q

wibawanyacl3q

Answered question

2022-03-22

Solve the system of equations by elimination.
2a+5b=18
5a3b=14

Answer & Explanation

Tristatex9tw

Tristatex9tw

Beginner2022-03-23Added 18 answers

Step 1
Given:
2a+5b=18 ... (i)
5a3b=14 ... (ii)
Step 2
Multiplying equation (i) by 3:
3(2a+5b=18)
6a+15b=54 ... (iii)
Multiplying equation (ii) by 5:
5(5a3b=14)
25a15b=70 ... (iv)
Adding (iii) and (iv) and eliminating b:
31a=124
a=12431
a=4
Step 3
Put a=4 in (i):
2(4)+5b=18
8+5b=18
5b=188
5b=10
b=105
b=2
so,
a=4,b=2

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