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Alja [10]
3 years ago
6

Help me................​

Mathematics
2 answers:
Sveta_85 [38]3 years ago
5 0
X=5/ y=4

7x-4=31. 4y+8=24
+4. +4. -8 -8
7x=35. 4y=16
/7 /7. /4. /4
X=5. Y=4
Taya2010 [7]3 years ago
4 0

Answer:

x = 5. y = 4

Step-by-step explanation:

7x - 4 = 31

7x = 35

x = 5

4y + 8 = 24

4y = 16

y = 4

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\bold{ELIMINATION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8\\y=x+4&\TEXT{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}y=-x+8\\-y=-x-4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad0=-2x+4\qquad\text{add}\ 2x\ \text{to both sides}\\.\qquad2x=4\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}

\bold{SUBSTITUTION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8&(1)\\y=x+4&(2)\end{array}\right\\\\\text{Substitute (1) to (2)}\\\\-x+8=x+4\qquad\text{subtract 8 from both sides}\\-x=x-4\qquad\text{subtract}\ x\ \text{from both sides}\\-x-x=-4\\-2x=-4\qquad\text{divide both sides by (-2)}\\\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}

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