1)6•x+2•x+30=70 2)5•(X+2)+10x = 100 3)630:(3x-21)-47=23 4)(8y-65):7+39=64 Помогите плиз
Ответы на вопрос
Ответ:
1)6•x+2•x+30=70
6х+2х+30=70
8х=70-30
8х=40
х=5
2)5•(X+2)+10x = 100
5х+10+10х=100
5х+10х=100-10
15х=90
х=6
3)630:(3x-21)-47=23
630÷(3х-21)=70
210х÷30=70
210х=2100
х=10
4)(8y-65):7+39=64
8у-65)÷7=25
8у-65=175
8у=240
у=30
Solving the Equations
Let's solve the given equations step by step.
1) Equation 1: 6x + 2x + 30 = 70
First, combine like terms on the left side of the equation: 6x + 2x = 8x
So the equation becomes: 8x + 30 = 70
Subtract 30 from both sides: 8x = 70 - 30 8x = 40
Finally, divide both sides by 8 to solve for x: x = 40 / 8 x = 5
Answer: x = 5
2) Equation 2: 5(x + 2) + 10x = 100
First, distribute the 5 on the left side of the equation: 5x + 10 + 10x = 100
Combine like terms: 5x + 10x + 10 = 100 15x + 10 = 100
Subtract 10 from both sides: 15x = 100 - 10 15x = 90
Finally, divide both sides by 15 to solve for x: x = 90 / 15 x = 6
Answer: x = 6
3) Equation 3: 630 / (3x - 21) - 47 = 23
First, add 47 to both sides of the equation: 630 / (3x - 21) = 23 + 47 630 / (3x - 21) = 70
Now, multiply both sides by (3x - 21) to isolate the variable: 630 = 70(3x - 21)
Divide both sides by 70: 9 = 3x - 21
Add 21 to both sides: 30 = 3x
Finally, divide both sides by 3 to solve for x: x = 30 / 3 x = 10
Answer: x = 10
4) Equation 4: (8y - 65) / 7 + 39 = 64
First, subtract 39 from both sides of the equation: (8y - 65) / 7 = 64 - 39 (8y - 65) / 7 = 25
Now, multiply both sides by 7 to isolate the variable: 8y - 65 = 25 * 7 8y - 65 = 175
Add 65 to both sides: 8y = 175 + 65 8y = 240
Finally, divide both sides by 8 to solve for y: y = 240 / 8 y = 30
Answer: y = 30
Conclusion
The solutions to the given equations are: 1) x = 5 2) x = 6 3) x = 10 4) y = 30
I hope this helps! If you have any more questions or need further assistance, feel free to ask.
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