Solve the system of linear equations by elimination −2x+3y=7 and 5x+8y=−2
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Answer:
The saving of all three person are
The Pedro's saving is $ 30
The Michael's saving is $ 10
The Kevin's saving is $ 90
Step-by-step explanation:
Given as :
The three person namely Michael , Pedro , Kevin
The total saving of all together = $ 130
Let The Michael's saving = $ M
The Pedro's saving = $ P
The Kevin's saving = $ k
I.e Michael's saving + Pedro's saving + Kevin's saving = $ 130
Or, M + P + K = $ 130
again ,
Kevin saved 3 times more than Pedro
I.e K = 3 × P
And , Michael save $ 20 less than Pedro
I.e M = P - $ 20
Now
∵ M + P + K = $ 130
or, ( P - $ 20) + P + 3 × P = $ 130
Or, 5 P - $ 20 = $ 130
Or, 5 P = $ 130 + $ 20
Or, 5 P = $ 150
∴ P = $
I.e P = $ 30
So The Pedro's saving = P = $ 30
And
M = P - $ 20
∴, M = $ 30 - $ 20
I.e M = $ 10
So, The Michael's saving = M = $ 10
Similarly
K = 3 × P
∴ k = 3 × $ 30
I.e K = $ 90
So, The Kevin's saving = k = $ 90
Hence The saving of all three person are
The Pedro's saving is $ 30
The Michael's saving is $ 10
The Kevin's saving is $ 90
Answer