solve for a and b: 47a+31b=63 31a+47b=15 Question solve for a and b: 47a+31b=63 31a+47b=15 in progress 0 Math Genesis 1 week 2021-09-13T15:29:48+00:00 2021-09-13T15:29:48+00:00 2 Answers 0 views 0

## Answers ( )

Answer:(2, – 1)Step-by-step explanation:47a + 31b = 63

31a + 47b = 15

Cramer’s rule:

Δ = = 47² – 31² = (47 – 31)(47 + 31) = 16 × 78 = 1248

Δa = = 63×47 – 31×15 = 2496

Δb = = 47×15 – 63×31 = – 1248

a = Δa / Δ = 2496 ÷ 1248 = 2

b = Δb / Δ = – 1248 ÷ 1248 = – 1

(2 , – 1)

Step-by-step explanation:45a+31b=63 …….. (1)

31a+47b=15 ……… (2)

By multiplying (1) by 47 and (2) by 31

Then, subtracting i from ii

And solve it