Solve {l}{(-5)+(-18)+x=-25}{(-352)=P+243-(-64)}{text{Encuentraelvalordelain}}{2x+3=5x-9text{2)}9x-1}{5G-10-36+3+26=20-}{-9x-6+4=4+2x-8x}{text{0)}5G-10-36+3+2G=20}

$$\left. \begin{array} { l } { ( - 5 ) + ( - 18 ) + x = - 25 } \\ { ( - 352 ) = P + 243 - ( - 64 ) } \\ { \text { Encuentra el valor de la in } } \\ { 2 x + 3 = 5 x - 9 \text { 2) } 9 x - 1 } \\ { 5 G - 10 - 36 + 3 + 26 = 20 - } \\ { - 9 x - 6 + 4 = 4 + 2 x - 8 x } \\ { \text { 0) } 5 G - 10 - 36 + 3 + 2 G = 20 } \end{array} \right.$$

Solve for x, P, G

$$x=-2$$

$$P=-659$$

$$G=9$$

Solution Steps

Consider the first equation. Subtract 18 from -5 to get -23.

$$-23+x=-25$$

Add 23 to both sides.

$$x=-25+23$$

Add -25 and 23 to get -2.

$$x=-2$$

Consider the second equation. The opposite of -64 is 64.

$$-352=P+243+64$$

Add 243 and 64 to get 307.

$$-352=P+307$$

Swap sides so that all variable terms are on the left hand side.

$$P+307=-352$$

Subtract 307 from both sides.

$$P=-352-307$$

Subtract 307 from -352 to get -659.

$$P=-659$$

Consider the third equation. Subtract 36 from -10 to get -46.

$$5G-46+3+2G=20$$

Add -46 and 3 to get -43.

$$5G-43+2G=20$$

Combine 5G and 2G to get 7G.

$$7G-43=20$$

Add 43 to both sides.

$$7G=20+43$$

Add 20 and 43 to get 63.

$$7G=63$$

Divide both sides by 7.

$$G=\frac{63}{7}$$

Divide 63 by 7 to get 9.

$$G=9$$

The system is now solved.

$$x=-2 P=-659 G=9$$