5x+y=-19 5x-4y=-24
Help pls
Answers
Answer:
x= 4 and y=1
Step-by-step explanation:
to solve this you could either use substitution or elimination. elimination would be best her because both 'x's have the same number. subtract the equations from eahh other and solve for y, then substitute the y and solve for x
The system of equations are solved and x = -4 and y = 1
What is an Equation?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.
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 data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To solve the system of equations:
5x + y = -19 (Equation 1)
5x - 4y = -24 (Equation 2)
Let's use the elimination method in this case.
Step 1: Multiply Equation 1 by 4 and Equation 2 by 1 to eliminate y.
4(5x + y) = 4(-19)
5x - 4y = -24
20x + 4y = -76 (Equation 1 multiplied by 4)
5x - 4y = -24 (Equation 2 multiplied by 1)
Step 2: Add the equations together to eliminate y.
20x + 4y + 5x - 4y = -76 - 24
25x = -100
x = -100 / 25
x = -4
Step 3: Substitute the value of x into either Equation 1 or Equation 2 to solve for y.
5(-4) + y = -19 (Using Equation 1)
-20 + y = -19
y = -19 + 20
y = 1
Hence , the solution to the system of equations is x = -4 and y = 1
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learn more about parallel lines: https://brainly.com/question/24607467
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