The following equations are given

Equation #1 3x+z+y=8

Equation #2 5y-x=-7

Equation #3 3z+2x-2y=15

Equation #4 4x+5y-2z=-3

a. is it possible to solve for any of the variables using only Equation #1 and Equation #27 Explain your answer. If possible, solve for the variables using only equations #1 and #2

b. is it possible to solve for any of the variables using only Equation #1, Equation #2, and Equation #37 Explain your answer if possible, solve for the variables using only equations #1, #2, and #3

c. if you found solutions in part b, do these solutions also hold for Equation #4?

system of equations, we have that:a)It isnot possibleto solve for any of the variables using only Equation #1 and Equation #2, as there are only 2 equations for 3 variables.b)It ispossibleto solve for any of the variables using only Equation #1, Equation #2, and Equation #3, as there are 3 equations for 3 variables. Thesolutionsare: x = 12, y = 1, z = -29.c)These solutionsdo not holdfor equation 4, meaning thatequation 4 is inconsistent for the system.## What is a system of equations?

number of equationshas to beat least the same as the number of variables,hence in item a, it isnot possibleto solve for any of the variables using only Equation #1 and Equation #2, as there are only 2 equations for 3 variables.item b, we can solve. From thesecond equation, we have that:firstequation, we have that:thirdequation, we can replace andsolve for y.solutionsfor x and z are:equation 4,we have that:do not holdfor equation 4, meaning thatequation 4 is inconsistent for the system.system of equationsat https://brainly.com/question/24342899