What values of 𝑔g and ℎh make both of these equations true? 𝑔+ℎg+h==13134𝑔−5ℎ4g−5h==−29−29
Question
What values of 𝑔 and ℎ make both of these equations true?
Equation 1:
Equation 2:
Solution
The equations you provided are:
- g + h = 13
- 4g - 5h = -29
This is a system of linear equations. We can solve it step by step:
Step 1: Multiply the first equation by 4 and the second equation by 1 to make the coefficients of g the same in both equations:
4g + 4h = 52 4g - 5h = -29
Step 2: Subtract the second equation from the first to eliminate g:
4h + 5h = 52 + 29 9h = 81 h = 81 / 9 h = 9
Step 3: Substitute h = 9 into the first equation to find g:
g + 9 = 13 g = 13 - 9 g = 4
So, the values of g and h that make both of these equations true are g = 4 and h = 9.
Similar Questions
What values of 𝑥x and 𝑦y make both of these equations true? 2𝑦2y==𝑥+6x+6𝑦−3𝑥y−3x==33
What values of 𝑔g and ℎh make both of these equations true? 𝑔+ℎg+h==13134𝑔−5ℎ4g−5h==−29−29
Determine whether the value 𝑥=4 makes the following equations true or false.True False 𝑥+48−1=06+𝑥=25−𝑥2=−113(7−𝑥)+8=16
Compare the graphs of 𝑓(𝑥)𝑓(𝑥) and 𝑔(𝑥)𝑔(𝑥). Find the value of ℎℎ and 𝑘𝑘.Enter your answers as integers: ℎ=ℎ=Answer 1 Question 9 and 𝑘=𝑘=Answer 2 Question 9
Determine whether the solutions to the following equations satisfies 𝑥>0, 𝑥=0 or 𝑥>0.𝑥<0𝑥=0𝑥>0 4𝑥−12=𝑥2+2−2𝑥+3=10+4𝑥2𝑥+7=7−5𝑥 5𝑥+23=𝑥−12
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.