Problem

Write a system of two equations in two variables …

01:28

Problem 19 Medium Difficulty

Write a system of two equations in two variables to solve each problem.
Government. The salaries of the president and vice president of the United States total $\$ 627,300$ a year. If the president makes $\$ 172,700$ more than the vice president, find each of their salaries.

Answer

President: $\$ 400,000 ;$ vice president: $\$ 227,300$

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Algebra

Elementary and Intermediate Algebra

Chapter 4

Systems of Linear Equations and Inequalities

Section 4

Problem Solving Using Systems of Equations

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Video Transcript

All right, So what do we got? We got a president and a vice president, and we have to hurry each of their salaries. So let's just say that X is the prayers and that why is the Vice President so we know that they salaries total 6 27 300 So if I added x plus, why you get $627,300 is check. That looks good. The president makes still $172,700 more than the vice presidents of the president makes 127,000 100. And who that's backwards 172,000 700 more more than the vice president. So this looks to me like substitution, because I have X in terms of why substitute that in right there. So 17 to 700. Plus why, that's my X plus another. Why makes 627,300 combined my life terms and move the 172,700 over. Okay, So what do we have left over to why equal? So zero your three minus seven gonna borrow. Make that a six. So 13 minus seven is 66 and steers for two minutes. Seven. We're gonna borrow for my seven is five for four or five. Who are 600? Does that look good? Yeah. Okay, so then divide by two. Can you get that? Why is it going to but see two 100? What is that? 449,600. 227,000 wounds. 227,300. Okay, I'm gonna go into the next slide here just to get myself a little more space. So why equals to 27? 300? And what do we know? That the president? The president makes 172,000 more. So the president makes $172,700 more. So we had them up every year. 400,000. When you can verify that those add up to the combined total of 6 27,000 Also

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