Answer:
yes
Step-by-step explanation:
2+2+2=6
3+3=6
Basically you're solving for both variables here.
I prefer elimination method so that is what I used.
I started off by multiplying each equation in order to get one of the variables at the same value so it would be possible to cancel it out.
Multiplying the first equation by 3 gave me,
12x + 15y = 69
Then I multiplied the second equation by 4,
-12x + 28y = -56
As you can see, it's not possible to cancel out the x variable.
12x + 15y = 69
+(-12x + 28y = -56)
_____________
13y = 13
Then just solve for y which gives you -1.
After you have one variable solved simply insert it into one of the original equations to find the other variable.
4x + 5(-1) = 23
4x - 5 = 23
4x = 28
x = 7.
And there you have it! Hope this helped!
Answer:
(i) Triangle ABC and triangle ADE are similar triangles. Hence, their ratios will be same.
Ratio of DE to BC is 4:6 => 2:3
To find area, we need to raise the ratio of length to power 2
(2/3)² = 16/x
4/9 = 16/x
x = (16*9)/4
x = 36cm²
Therefore, area of triangle ABC is 36cm²
(ii) Ratio of DE to BC is 4:8 => 1:2
(1/2)² = 25/x
1/4 = 25/x
x = 25*4
x = 100cm²
Therefore, area of triangle ABC is 100cm²
I'm not sure about the third question, sorry
Step-by-step explanation: