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Can u please help me in number 23 please i don’t know how to do this

Can u please help me in number 23 please i don’t know how to do this-example-1
User MKII
by
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1 Answer

6 votes

This is an example of systems of equations, using weird symbols rather than x or y.

We'll substitute the symbols for the variables d and c

d for diamond, c for clover.

3 + d = c

c + d = 11

We can solve for one variable in the first equation to find the true value of the other variable in the second equation.

3 + d = c

Subtract 3 from both sides.

d = c - 3

Now we have a value for d and can solve the second equation.

c + d = 11

Substitute.

c + c - 3 = 11

Add 3 to both sides.

c + c = 14

Combine like terms.

2c = 14

Divide both sides by 2.

c = 7

Now we know the absolute value of c and can solve for the value of d.

d + c = 11

d + 7 = 11

Subtract 7 from both sides.

d = 4

The diamond, or d, is equal to 4. And the clover, or c, is equal to 7. (This is your answer.)

Let me know if you have any questions.

User Heavysixer
by
7.0k points
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