Word Problems - System of Linear Equations

Word Problems - System of Linear Equations

You have a total of 42 math and science problems for homework. You have 10 more math problems that science problems. How many problems do you have in each subject?

You have a total of 42 math and science problems for homework. You have 10 more math problems that science problems. How many problems do you have in each subject?

Multiple Choice

How many TOTAL problems do you have

• 42

• 10

Fill in the Blanks

You have a total of 42 math and science problems for homework. You have 10 more math problems that science problems. How may problems do you have in each subject?

Do we know how many science problems we have?

Fill in the Blanks

You have a total of 42 math and science problems for homework. You have 10 more math problems that science problems. How may problems do you have in each subject?

Do we know how many math problems we have?

We don't know how many math or science problems so we are going to assign variables.

Science problems = x

Math problems = y

Fill in the Blanks

How many total problems did we have?

Fill in the Blanks

Using the information of 42 total problems, and our variables x & y write an equation that represents adding up all of our total problems.

So our first equation is x+y=42.

You have a total of 42 math and science problems for homework. You have 10 more math problems that science problems. How many problems do you have in each subject?

Let's play with numbers and variables.

You have a total of 42 math and science problems for homework. You have 10 more math problems that science problems. How many problems do you have in each subject?

Remember:

Science problems = x

Math problems = y

You have a total of 42 math and science problems for homework. You have 10 more math problems that science problems. How many problems do you have in each subject?

Fill in the Blanks

What's the 2nd equation?

You have a total of 42 math and science problems for homework.

X+Y=42

You have 10 more math problems that science problems.

X=10+y

Now - Solve

Open Ended

What is the value of x? (Science Problems)

Open Ended

What is the value of y? (Math Problems)