MATH SOLVE

2 months ago

Q:
# x+ y = -2y = 4x + 3subsituition meathod

Accepted Solution

A:

The solution of the system of equations is (-1 , -1) Step-by-step explanation:To solve the system of linear equations by substitution methodUse one of the two equation to find one variable in terms of the other termsSubstitute this variable in the second equation to find an equation of one variableSolve the equation to find the this variableFind the first variable using the substitution equation∵ x + y = -2 ⇒ (1)∵ y = 4x + 3 ⇒ (2)- Substitute y in equation (1) by equation (2)∴ x + (4x + 3) = -2- Add like terms∴ (x + 4x) + 3 = -2∴ 5x + 3 = -2- Subtract 3 from both sides∴ 5x = -5- Divide both sides by 5∴ x = -1- Substitute the value of x by -1 in equation (20 to find y∴ y = 4(-1) + 3∴ y = -4 + 3∴ y = -1The solution of the system of equations is (-1 , -1) Learn more:You can learn more about system of linear equations in brainly.com/question/6075514#LearnwithBrainly