Question

54÷(5+ m )+(3×3+4×4)÷5=9×3-12÷2-(5×9-7×5)

Answer 1

54:(5+m)+(3·3+4·4):5=9·3-12:2-(5·9-7·5)
54:(5+m)+(9+16):5=27-6-(45-35)
54:(5+ m)+25:5=27-6-10
54:(5+ m)+5=11
54:(5+ m)=11-5
54:(5+ m)=6
5+m=54:6
5+m=9
m=9-5
m=4
54:(5+4)+(3·3+4·4):5=9·3-12:2-(5·9-7·5)
54:9+(9+16):5=27-6-(45-35)
6+25:5=21-10
6+5=11

Answer 2

Let's solve the equation step by step:

1. 54 ÷ (5 + m) + (3 × 3 + 4 × 4) ÷ 5 = 9 × 3 - 12 ÷ 2 - (5 × 9 - 7 × 5)

2. First, let's simplify the expressions on both sides of the equation:

On the left side: 54 ÷ (5 + m) + (3 × 3 + 4 × 4) ÷ 5

Calculate the values within parentheses: 54 ÷ (5 + m) + (9 + 16) ÷ 5

Add the values within parentheses: 54 ÷ (5 + m) + 25 ÷ 5

Now, let's perform the division: 54 ÷ (5 + m) + 5

On the right side: 9 × 3 - 12 ÷ 2 - (5 × 9 - 7 × 5)

Perform the multiplication and division operations within the parentheses: 9 × 3 - 12 ÷ 2 - (45 - 35)

Perform the subtraction inside the parentheses: 9 × 3 - 12 ÷ 2 - 10

Now, calculate the remaining operations from left to right: 27 - 6 - 10

3. Continuing the calculation: 27 - 6 - 10 = 17

So, the equation becomes: 54 ÷ (5 + m) + 5 = 17

4. Next, isolate the variable (m) by solving for it. First, let's move the constant term (5) to the other side of the equation:

54 ÷ (5 + m) = 17 - 5 54 ÷ (5 + m) = 12

5. Now, we want to eliminate the division. To do this, multiply both sides of the equation by (5 + m):

54 = 12 × (5 + m)

6. Expand the right side of the equation:

54 = 12 × 5 + 12 × m

7. Simplify the right side:

54 = 60 + 12m

8. Next, isolate the variable (m) by moving the constant term (60) to the other side:

54 - 60 = 12m

9. Perform the subtraction:

-6 = 12m

10. Finally, solve for (m) by dividing both sides by 12:

m = -6 / 12

m = -0.5

So, the value of m that satisfies the equation is -0.5.