City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than three times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. The following system of equations models this scenario: 4x = 8 + 3y x − 2y = −3 What was the temperature of City A and City B on that day?

Answer:

a

Step-by-step explanation:

i just took the test.

The temperature of City A is 5° C and temperature of City B is 4° C.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

4x = 8 + 3y.....................(1)

x − 2y = −3.......................(2)

Solving Equation (1) and (2), we get

4x = 8 + 3y

4( -3 + 2y) = 8 + 3y

-12 + 8y = 8 +3y

8y - 3y = 8 + 12

5y = 20

y= 4

and, x = -3 + 2y = -3 +2(4) = -3 + 8 = 5

Hence, the temperature of City A is 5° C and temperature of City B is 4° C.

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