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Solve each problem by using a system of three equations inthree unknowns.

Three cars. The town of Springfield purchased a Chevrolet, a Ford, and a Toyota for a total of 66,000 dollars. The Ford was 2,000 dollars more than the Chevrolet and the Toyota was 2,000 dollars more than the Ford. What was the price of each car?

Chevrolet $\$ 20,000,$ Ford $\$ 22,000,$ Toyota $\$ 24,000$

Algebra

Algebra 2

Chapter 4

Systems of Linear Equations

Section 3

Systems of Linear Equations in Three Variables

Polynomials

Systems of Equations and Inequalities

Introduction to Algebra

Graph Linear Functions

Write Linear Equations

Linear Equations and Functions

Matrices and Determinants

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So you were given a wear problem. We're told they're three cars of some of the costs of the three cars at 66,000. So I'm living CB the cost of the Chevrolet FB, the cost of forward and TV. The cost of the Toyota number told the cost of the Ford is equals 2000 more than the cost of the Chevrolet Acosta. Toyota has 2000 more than the cost of the Ford. So here's our system of equations. Now, if the salt we see here we have f in terms of seats we have see in terms of C So now we just have the A t in terms of C, and we can do this using substitution. We complain this equation in for F this is gonna give us tea Was 4000. See now it actually solve for C, we've seen plus 2000 plus C because at half plus 4000 plus C people 66,000 that would be three c 60 1000 season equal 20,000. Once we have the cost of a Chevrolet, we could find the thoughts of Ford is just 2000 more than that, uh, equals 2000 and we know that T is 2000 plus f. He equals 24,000. So this is our

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