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marta [7]
3 years ago
6

Solve this system of equations algebraically using substitution y= x + 4 and x + y=2

Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

x = -1, y = 3

Step-by-step explanation:

To solve this system of equations, you have to plug in the value of y from the first equation into the second equation:

x + (x + 4) = y

2x + 4 = 2

2x = -2

x = -1

Then, plug x = -1 into one of the equations:

y = (-1) + 4

y = 3

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3 years ago
John buys 3 pounds of cherries and 2 pounds of bananas he pays a total of $24.95 the bananas cost $6.50 less per pound than the
Murrr4er [49]

John will pay $8.68 for the combined cost of 1 pound of banana and 1 pound of cherries.

Let: b=cost of banana per pound and c=cost of cherries per pound

Equation 1: For 3 pounds of cherries and 2 pounds of bananas, John pays a total of $24.95.

3c + 2b =$24.95

Equation 2: The cost of bananas is $6.50 less than a pound of cherries.

b= c - $6.50

We can substitute the second equation into the first one to solve for the cost of cherries per pound.

3c + (2)(c-$6.50)= $24.95

3c + 2c -$13.00 = $24.95

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Substituting the value of c to the second equation to solve for b.

b= $7.59 - $6.50 = $1.09

The combined cost of 1 pound of banana and 1 pound of cherries is $1.09 + $7.59 or $8.68.

For more information regarding the system of equations, please refer to brainly.com/question/25976025.

#SPJ4

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