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dusya [7]
3 years ago
15

Equation 1 4y+1=x equation 2 x=5y solve the system of linear equations by substitution

Mathematics
1 answer:
Ymorist [56]3 years ago
3 0
The first given equation is:
4y + 1 = x .......> equation I
The second given equation is:
2x = 5y .......> equation II

Substitute with equation I in equation II to get the value of y as follows:
2x = 5y
2(4y+1) = 5y
8y + 2 = 5y
8y - 5y = -2
3y = -2
y = -2/3

Substitute with the value of y in equation I to get the value of x as follows:
x = 4y + 1
x = 4(-2/3) + 1
x = -5/3

Based on the above calculations:
x = -5/3
y = -2/3
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The simple interest on a credit card is the annual interest multiplied by the credit card balance, in other words, the total interest paid on both credit cards in the year under review summed up to $797.

Let us assume that simple interest on the credit card with a balance of $7500 is X

interest=$7500*X

The interest on the other credit card would be X+1.4%

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total interest=797

797=7500X+3500X+49

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The simple interest on the credit balance of $7500 is 7.48%

The simple interest on the credit balance of $3,500=7.48%+1.4%

The simple interest on the credit balance of $3,500=8.88%

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