Question

(52-х)+43=78 123-(37+а)=15 169+(37+а)=235 (52+х)+43=178 354-(177+а)=93

Answer 1

x=17  a=71   a=29  x=83 a=84 

Answer 2

To solve these equations, we'll need to find the values of "x" and "a" that make each equation true. Let's go through them one by one:

1. (52 - x) + 43 = 78

First, simplify the left side:

52 - x + 43 = 78

Now, combine like terms:

95 - x = 78

To isolate "x," subtract 95 from both sides:

-x = 78 - 95 -x = -17

Now, multiply both sides by -1 to solve for "x":

x = 17

So, in the first equation, x = 17.

2. 123 - (37 + a) = 15

First, simplify the expression within the parentheses:

123 - (37 + a) = 15

Now, subtract 123 from both sides to isolate (37 + a):

-(37 + a) = 15 - 123

-(37 + a) = -108

Next, multiply both sides by -1 to solve for (37 + a):

37 + a = 108

Now, subtract 37 from both sides to solve for "a":

a = 108 - 37 a = 71

So, in the second equation, a = 71.

3. 169 + (37 + a) = 235

First, simplify the expression within the parentheses:

169 + (37 + a) = 235

Now, combine like terms:

169 + 37 + a = 235

206 + a = 235

To isolate "a," subtract 206 from both sides:

a = 235 - 206 a = 29

So, in the third equation, a = 29.

4. (52 + x) + 43 = 178

First, simplify the left side:

52 + x + 43 = 178

Now, combine like terms:

95 + x = 178

To isolate "x," subtract 95 from both sides:

x = 178 - 95 x = 83

So, in the fourth equation, x = 83.

5. 354 - (177 + a) = 93

First, simplify the expression within the parentheses:

354 - (177 + a) = 93

Now, subtract 354 from both sides to isolate (177 + a):

-(177 + a) = 93 - 354

-(177 + a) = -261

Next, multiply both sides by -1 to solve for (177 + a):

177 + a = 261

Now, subtract 177 from both sides to solve for "a":

a = 261 - 177 a = 84

So, in the fifth equation, a = 84.