Respuesta :

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.

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