Question

hi guys please solve this question = 2m-3n=15,8m+5n=77 it's argent​

Answer 1

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Answer 2

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2m-3n=15____equⁿ (1)

8m+5n=77____equⁿ(2)

Find the value of m & n by Cramer's Rule

So here,

• $a_{1}=2$
• $a_{2}=8$
• $b_{1}=-3$
• $b_{2}=5$
• $c_{1}=15$
• $c_{2}=77$

D=Cramer's Formula

D=Putting values

=2×5-8×(-3)

=10-(-24)

=10+24

=34

$\therefore$D=34

━━━━━━━⊱✿⊰━━━━━━━

$\sf{D_{m}}$=Formula

$\sf{D_{m}}$=Putting values

=15×5-77×(-3)

=125-(-231)

=125+231

=366

∴$\sf{D_{m}}$=366

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$\sf{D_{n}}$=Formula

$\sf{D_{n}}$=Putting values

=2×77-8×15

=154-120

=34

━━━━━━━⊱✿⊰━━━━━━━

∴m=$\large\sf\frac{D_{m}}{D}$

m=$\sf\frac{366}{34}$

$\therefore$m=10.76

∴n=$\large\sf\frac{D_{n}}{D}$

n=$\sf\frac{34}{34}$

$\therefore$n=1