Answer:
Step-by-step explanation:
The given system of equations is expressed as
6x - 5y = -34 - - - - - - - - - - - -1
2x + 6y = 4 - - - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 2 and equation 2 by 6. It becomes
12x - 10y = - 68 - - - - - - - - - - - -3
12x + 36y = 24 - - - - - - - - - - - -4
Subtracting equation 4 from equation 3, it becomes
- 46y = - 92
Dividing the left hand side and the right hand side of the equation by
- 46, it becomes
- 46y/46 = - 92/- 46
y = 2
Substituting y = 2 into equation 2, it becomes
2x + 6 × 2 = 4
2x + 12 = 4
Subtracting 12 from left hand side and the right hand side of the equation, it becomes
2x + 12 - 12 = 4 - 12
2x = - 8
Dividing the left hand side and the right hand side of the equation by 2, it becomes
2x/2 = - 8/2
x = - 4
Answer:
Let the number to find be x
7 - 9x = 52
-9x = 52-7
- 9x = -45
Divide by - 9
x = 5
The number is 5
Hope this helps.
Answer:
x= 81°, z= 99°, y°=68°
Step-by-step explanation:
considering the part of the triangle where 36° , 63° and x° is located as ΔABC.
to find the measure of x we use angle sum property.
We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.
so,
∠A + ∠B +∠C = 180°
36° + 63° + x° = 180°
99° + x° = 180°
x° = 180 - 99
x° = 81°
When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.
x° + z° = 180°
81° + z = 180°
z= 180 - 81
z= 99°
considering the next part of the triangle where 13° , z° and y° is located as ΔACD
to find the measure of y we use angle sum property.
∠A + ∠C + ∠D = 180°
13° + z° + y° = 180°
13°+99°+y°= 180°
112°+ y° = 180°
y°= 180- 112
y° = 68°
Answer:
2.5
Step-by-step explanation:
60 ÷ 24= 2.5