$x2+y2=9 - - - - - (1)\\ x+y=2 - - - - - - (2) \\ from \: equation \: (2) \\ y = 2 - x \\ substitute \: into \: equation \: (1) \\ x {}^{2} + 2 {}^{2} - x {}^{2} = 9 \\$

Step by Step Solution

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the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x^2+2^2-x^2-(9)=0

STEP

Equation at the end of step

(((x2) + 22) - x2) - 9 = 0

STEP

Equation at the end of step 2

-5 = 0

STEP

Equations which are never true:

3.1 Solve : -5 = 0

This equation has no solution.

A a non-zero constant never equals zero.

no solutions found

5 0

3 years ago

1.9n−14=5n+58

elena-s [515]

1. n=18
2. n=18
3. x=4
4. a= -12
5. x=3

8 0

3 years ago

Signs for science project displays are cut from pieces of poster board that measure 1 yard on each side. Each sign is LaTeX: \fr

iren [92.7K]

Answer:

Step-by-step explanation:

Given that :

Dimension of poster board = 1 yd by 1 yd

Dimension of each poster sign = 1/3 yd by 1/9 yd

Number of poster signs that can be cut :

Area of poster sign = 1/3 * 1/9 = 1/27 yard²

Area of poster board = 1 yard²

Number of poster signs that can be cut :

Area of poster board / area of poster sign

1 yard² ÷ (1/27) yard²

1 ÷ 1/27

1 * 27/1

= 27 poster signs

4 0

3 years ago